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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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+<html lang="en">
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+<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+<title>Vector3D (Apache Commons Math 3.6.1 API)</title>
+<link rel="stylesheet" type="text/css" href="../../../../../../../stylesheet.css" title="Style">
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+<body>
+<script type="text/javascript"><!--
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+<li class="navBarCell1Rev">Class</li>
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+<li><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3DFormat.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><span class="strong">Next Class</span></a></li>
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+<li>Summary:&nbsp;</li>
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+<li><a href="#field_summary">Field</a>&nbsp;|&nbsp;</li>
+<li><a href="#constructor_summary">Constr</a>&nbsp;|&nbsp;</li>
+<li><a href="#method_summary">Method</a></li>
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+<ul class="subNavList">
+<li>Detail:&nbsp;</li>
+<li><a href="#field_detail">Field</a>&nbsp;|&nbsp;</li>
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+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.geometry.euclidean.threed</div>
+<h2 title="Class Vector3D" class="title">Class Vector3D</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.geometry.euclidean.threed.Vector3D</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<dl>
+<dt>All Implemented Interfaces:</dt>
+<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;, <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</dd>
+</dl>
+<hr>
+<br>
+<pre>public class <span class="strong">Vector3D</span>
+extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
+implements <a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</pre>
+<div class="block">This class implements vectors in a three-dimensional space.
+ <p>Instance of this class are guaranteed to be immutable.</p></div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>1.2</dd>
+<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../serialized-form.html#org.apache.commons.math3.geometry.euclidean.threed.Vector3D">Serialized Form</a></dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- =========== FIELD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_summary">
+<!-- -->
+</a>
+<h3>Field Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
+<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Field and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#MINUS_I">MINUS_I</a></strong></code>
+<div class="block">Opposite of the first canonical vector (coordinates: -1, 0, 0).</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#MINUS_J">MINUS_J</a></strong></code>
+<div class="block">Opposite of the second canonical vector (coordinates: 0, -1, 0).</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#MINUS_K">MINUS_K</a></strong></code>
+<div class="block">Opposite of the third canonical vector (coordinates: 0, 0, -1).</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#NaN">NaN</a></strong></code>
+<div class="block">A vector with all coordinates set to NaN.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#NEGATIVE_INFINITY">NEGATIVE_INFINITY</a></strong></code>
+<div class="block">A vector with all coordinates set to negative infinity.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#PLUS_I">PLUS_I</a></strong></code>
+<div class="block">First canonical vector (coordinates: 1, 0, 0).</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#PLUS_J">PLUS_J</a></strong></code>
+<div class="block">Second canonical vector (coordinates: 0, 1, 0).</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#PLUS_K">PLUS_K</a></strong></code>
+<div class="block">Third canonical vector (coordinates: 0, 0, 1).</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#POSITIVE_INFINITY">POSITIVE_INFINITY</a></strong></code>
+<div class="block">A vector with all coordinates set to positive infinity.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#ZERO">ZERO</a></strong></code>
+<div class="block">Null vector (coordinates: 0, 0, 0).</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ======== CONSTRUCTOR SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_summary">
+<!-- -->
+</a>
+<h3>Constructor Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colOne" scope="col">Constructor and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double[])">Vector3D</a></strong>(double[]&nbsp;v)</code>
+<div class="block">Simple constructor.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double)">Vector3D</a></strong>(double&nbsp;alpha,
+ double&nbsp;delta)</code>
+<div class="block">Simple constructor.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double,%20double)">Vector3D</a></strong>(double&nbsp;x,
+ double&nbsp;y,
+ double&nbsp;z)</code>
+<div class="block">Simple constructor.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">Vector3D</a></strong>(double&nbsp;a,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u)</code>
+<div class="block">Multiplicative constructor
+ Build a vector from another one and a scale factor.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">Vector3D</a></strong>(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2)</code>
+<div class="block">Linear constructor
+ Build a vector from two other ones and corresponding scale factors.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">Vector3D</a></strong>(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2,
+ double&nbsp;a3,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u3)</code>
+<div class="block">Linear constructor
+ Build a vector from three other ones and corresponding scale factors.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">Vector3D</a></strong>(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2,
+ double&nbsp;a3,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u3,
+ double&nbsp;a4,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u4)</code>
+<div class="block">Linear constructor
+ Build a vector from four other ones and corresponding scale factors.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#add(double,%20org.apache.commons.math3.geometry.Vector)">add</a></strong>(double&nbsp;factor,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Add a scaled vector to the instance.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#add(org.apache.commons.math3.geometry.Vector)">add</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Add a vector to the instance.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#angle(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">angle</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the angular separation between two vectors.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#crossProduct(org.apache.commons.math3.geometry.Vector)">crossProduct</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the cross-product of the instance with another vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#crossProduct(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">crossProduct</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the cross-product of two vectors.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distance(org.apache.commons.math3.geometry.Point)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the distance between the instance and another point.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distance(org.apache.commons.math3.geometry.Vector)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>2</sub> norm.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distance(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the distance between two vectors according to the L<sub>2</sub> norm.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distance1(org.apache.commons.math3.geometry.Vector)">distance1</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>1</sub> norm.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distance1(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">distance1</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the distance between two vectors according to the L<sub>1</sub> norm.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distanceInf(org.apache.commons.math3.geometry.Vector)">distanceInf</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>&infin;</sub> norm.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distanceInf(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">distanceInf</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the distance between two vectors according to the L<sub>&infin;</sub> norm.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distanceSq(org.apache.commons.math3.geometry.Vector)">distanceSq</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the square of the distance between the instance and another vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#distanceSq(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">distanceSq</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the square of the distance between two vectors.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#dotProduct(org.apache.commons.math3.geometry.Vector)">dotProduct</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Compute the dot-product of the instance and another vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#dotProduct(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">dotProduct</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</code>
+<div class="block">Compute the dot-product of two vectors.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>boolean</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</code>
+<div class="block">Test for the equality of two 3D vectors.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getAlpha()">getAlpha</a></strong>()</code>
+<div class="block">Get the azimuth of the vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getDelta()">getDelta</a></strong>()</code>
+<div class="block">Get the elevation of the vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getNorm()">getNorm</a></strong>()</code>
+<div class="block">Get the L<sub>2</sub> norm for the vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getNorm1()">getNorm1</a></strong>()</code>
+<div class="block">Get the L<sub>1</sub> norm for the vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getNormInf()">getNormInf</a></strong>()</code>
+<div class="block">Get the L<sub>&infin;</sub> norm for the vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getNormSq()">getNormSq</a></strong>()</code>
+<div class="block">Get the square of the norm for the vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getSpace()">getSpace</a></strong>()</code>
+<div class="block">Get the space to which the point belongs.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getX()">getX</a></strong>()</code>
+<div class="block">Get the abscissa of the vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getY()">getY</a></strong>()</code>
+<div class="block">Get the ordinate of the vector.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getZ()">getZ</a></strong>()</code>
+<div class="block">Get the height of the vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getZero()">getZero</a></strong>()</code>
+<div class="block">Get the null vector of the vectorial space or origin point of the affine space.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#hashCode()">hashCode</a></strong>()</code>
+<div class="block">Get a hashCode for the 3D vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>boolean</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#isInfinite()">isInfinite</a></strong>()</code>
+<div class="block">Returns true if any coordinate of this vector is infinite and none are NaN;
+ false otherwise</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>boolean</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#isNaN()">isNaN</a></strong>()</code>
+<div class="block">Returns true if any coordinate of this point is NaN; false otherwise</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#negate()">negate</a></strong>()</code>
+<div class="block">Get the opposite of the instance.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#normalize()">normalize</a></strong>()</code>
+<div class="block">Get a normalized vector aligned with the instance.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#orthogonal()">orthogonal</a></strong>()</code>
+<div class="block">Get a vector orthogonal to the instance.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#scalarMultiply(double)">scalarMultiply</a></strong>(double&nbsp;a)</code>
+<div class="block">Multiply the instance by a scalar.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#subtract(double,%20org.apache.commons.math3.geometry.Vector)">subtract</a></strong>(double&nbsp;factor,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Subtract a scaled vector from the instance.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#subtract(org.apache.commons.math3.geometry.Vector)">subtract</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</code>
+<div class="block">Subtract a vector from the instance.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double[]</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#toArray()">toArray</a></strong>()</code>
+<div class="block">Get the vector coordinates as a dimension 3 array.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#toString()">toString</a></strong>()</code>
+<div class="block">Get a string representation of this vector.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#toString(java.text.NumberFormat)">toString</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/text/NumberFormat.html?is-external=true" title="class or interface in java.text">NumberFormat</a>&nbsp;format)</code>
+<div class="block">Get a string representation of this vector.</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
+<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="details">
+<ul class="blockList">
+<li class="blockList">
+<!-- ============ FIELD DETAIL =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_detail">
+<!-- -->
+</a>
+<h3>Field Detail</h3>
+<a name="ZERO">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>ZERO</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> ZERO</pre>
+<div class="block">Null vector (coordinates: 0, 0, 0).</div>
+</li>
+</ul>
+<a name="PLUS_I">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>PLUS_I</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> PLUS_I</pre>
+<div class="block">First canonical vector (coordinates: 1, 0, 0).</div>
+</li>
+</ul>
+<a name="MINUS_I">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>MINUS_I</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> MINUS_I</pre>
+<div class="block">Opposite of the first canonical vector (coordinates: -1, 0, 0).</div>
+</li>
+</ul>
+<a name="PLUS_J">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>PLUS_J</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> PLUS_J</pre>
+<div class="block">Second canonical vector (coordinates: 0, 1, 0).</div>
+</li>
+</ul>
+<a name="MINUS_J">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>MINUS_J</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> MINUS_J</pre>
+<div class="block">Opposite of the second canonical vector (coordinates: 0, -1, 0).</div>
+</li>
+</ul>
+<a name="PLUS_K">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>PLUS_K</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> PLUS_K</pre>
+<div class="block">Third canonical vector (coordinates: 0, 0, 1).</div>
+</li>
+</ul>
+<a name="MINUS_K">
+<!-- -->
+</a>
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+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> MINUS_K</pre>
+<div class="block">Opposite of the third canonical vector (coordinates: 0, 0, -1).</div>
+</li>
+</ul>
+<a name="NaN">
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+</a>
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+<h4>NaN</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> NaN</pre>
+<div class="block">A vector with all coordinates set to NaN.</div>
+</li>
+</ul>
+<a name="POSITIVE_INFINITY">
+<!-- -->
+</a>
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+<h4>POSITIVE_INFINITY</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> POSITIVE_INFINITY</pre>
+<div class="block">A vector with all coordinates set to positive infinity.</div>
+</li>
+</ul>
+<a name="NEGATIVE_INFINITY">
+<!-- -->
+</a>
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+<h4>NEGATIVE_INFINITY</h4>
+<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a> NEGATIVE_INFINITY</pre>
+<div class="block">A vector with all coordinates set to negative infinity.</div>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ========= CONSTRUCTOR DETAIL ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_detail">
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+<h3>Constructor Detail</h3>
+<a name="Vector3D(double, double, double)">
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+<h4>Vector3D</h4>
+<pre>public&nbsp;Vector3D(double&nbsp;x,
+ double&nbsp;y,
+ double&nbsp;z)</pre>
+<div class="block">Simple constructor.
+ Build a vector from its coordinates</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - abscissa</dd><dd><code>y</code> - ordinate</dd><dd><code>z</code> - height</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getX()"><code>getX()</code></a>,
+<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getY()"><code>getY()</code></a>,
+<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getZ()"><code>getZ()</code></a></dd></dl>
+</li>
+</ul>
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+<pre>public&nbsp;Vector3D(double[]&nbsp;v)
+ throws <a href="../../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
+<div class="block">Simple constructor.
+ Build a vector from its coordinates</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - coordinates array</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if array does not have 3 elements</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#toArray()"><code>toArray()</code></a></dd></dl>
+</li>
+</ul>
+<a name="Vector3D(double, double)">
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+<li class="blockList">
+<h4>Vector3D</h4>
+<pre>public&nbsp;Vector3D(double&nbsp;alpha,
+ double&nbsp;delta)</pre>
+<div class="block">Simple constructor.
+ Build a vector from its azimuthal coordinates</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>alpha</code> - azimuth (&alpha;) around Z
+ (0 is +X, &pi;/2 is +Y, &pi; is -X and 3&pi;/2 is -Y)</dd><dd><code>delta</code> - elevation (&delta;) above (XY) plane, from -&pi;/2 to +&pi;/2</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getAlpha()"><code>getAlpha()</code></a>,
+<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#getDelta()"><code>getDelta()</code></a></dd></dl>
+</li>
+</ul>
+<a name="Vector3D(double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
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+<pre>public&nbsp;Vector3D(double&nbsp;a,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u)</pre>
+<div class="block">Multiplicative constructor
+ Build a vector from another one and a scale factor.
+ The vector built will be a * u</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - scale factor</dd><dd><code>u</code> - base (unscaled) vector</dd></dl>
+</li>
+</ul>
+<a name="Vector3D(double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
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+<pre>public&nbsp;Vector3D(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2)</pre>
+<div class="block">Linear constructor
+ Build a vector from two other ones and corresponding scale factors.
+ The vector built will be a1 * u1 + a2 * u2</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd></dl>
+</li>
+</ul>
+<a name="Vector3D(double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
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+<pre>public&nbsp;Vector3D(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2,
+ double&nbsp;a3,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u3)</pre>
+<div class="block">Linear constructor
+ Build a vector from three other ones and corresponding scale factors.
+ The vector built will be a1 * u1 + a2 * u2 + a3 * u3</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd><dd><code>a3</code> - third scale factor</dd><dd><code>u3</code> - third base (unscaled) vector</dd></dl>
+</li>
+</ul>
+<a name="Vector3D(double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
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+<pre>public&nbsp;Vector3D(double&nbsp;a1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u1,
+ double&nbsp;a2,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u2,
+ double&nbsp;a3,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u3,
+ double&nbsp;a4,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;u4)</pre>
+<div class="block">Linear constructor
+ Build a vector from four other ones and corresponding scale factors.
+ The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd><dd><code>a3</code> - third scale factor</dd><dd><code>u3</code> - third base (unscaled) vector</dd><dd><code>a4</code> - fourth scale factor</dd><dd><code>u4</code> - fourth base (unscaled) vector</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="getX()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getX</h4>
+<pre>public&nbsp;double&nbsp;getX()</pre>
+<div class="block">Get the abscissa of the vector.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>abscissa of the vector</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double,%20double)"><code>Vector3D(double, double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="getY()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getY</h4>
+<pre>public&nbsp;double&nbsp;getY()</pre>
+<div class="block">Get the ordinate of the vector.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>ordinate of the vector</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double,%20double)"><code>Vector3D(double, double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="getZ()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getZ</h4>
+<pre>public&nbsp;double&nbsp;getZ()</pre>
+<div class="block">Get the height of the vector.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>height of the vector</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double,%20double)"><code>Vector3D(double, double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="toArray()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>toArray</h4>
+<pre>public&nbsp;double[]&nbsp;toArray()</pre>
+<div class="block">Get the vector coordinates as a dimension 3 array.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>vector coordinates</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double[])"><code>Vector3D(double[])</code></a></dd></dl>
+</li>
+</ul>
+<a name="getSpace()">
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+</a>
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+<h4>getSpace</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&nbsp;getSpace()</pre>
+<div class="block">Get the space to which the point belongs.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#getSpace()">getSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>containing space</dd></dl>
+</li>
+</ul>
+<a name="getZero()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getZero</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;getZero()</pre>
+<div class="block">Get the null vector of the vectorial space or origin point of the affine space.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getZero()">getZero</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>null vector of the vectorial space or origin point of the affine space</dd></dl>
+</li>
+</ul>
+<a name="getNorm1()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNorm1</h4>
+<pre>public&nbsp;double&nbsp;getNorm1()</pre>
+<div class="block">Get the L<sub>1</sub> norm for the vector.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm1()">getNorm1</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>L<sub>1</sub> norm for the vector</dd></dl>
+</li>
+</ul>
+<a name="getNorm()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNorm</h4>
+<pre>public&nbsp;double&nbsp;getNorm()</pre>
+<div class="block">Get the L<sub>2</sub> norm for the vector.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm()">getNorm</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>Euclidean norm for the vector</dd></dl>
+</li>
+</ul>
+<a name="getNormSq()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNormSq</h4>
+<pre>public&nbsp;double&nbsp;getNormSq()</pre>
+<div class="block">Get the square of the norm for the vector.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNormSq()">getNormSq</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>square of the Euclidean norm for the vector</dd></dl>
+</li>
+</ul>
+<a name="getNormInf()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNormInf</h4>
+<pre>public&nbsp;double&nbsp;getNormInf()</pre>
+<div class="block">Get the L<sub>&infin;</sub> norm for the vector.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNormInf()">getNormInf</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>L<sub>&infin;</sub> norm for the vector</dd></dl>
+</li>
+</ul>
+<a name="getAlpha()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getAlpha</h4>
+<pre>public&nbsp;double&nbsp;getAlpha()</pre>
+<div class="block">Get the azimuth of the vector.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>azimuth (&alpha;) of the vector, between -&pi; and +&pi;</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double)"><code>Vector3D(double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="getDelta()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getDelta</h4>
+<pre>public&nbsp;double&nbsp;getDelta()</pre>
+<div class="block">Get the elevation of the vector.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>elevation (&delta;) of the vector, between -&pi;/2 and +&pi;/2</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#Vector3D(double,%20double)"><code>Vector3D(double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="add(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>add</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;add(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Add a vector to the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#add(org.apache.commons.math3.geometry.Vector)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - vector to add</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
+</li>
+</ul>
+<a name="add(double, org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>add</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;add(double&nbsp;factor,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Add a scaled vector to the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#add(double,%20org.apache.commons.math3.geometry.Vector)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>factor</code> - scale factor to apply to v before adding it</dd><dd><code>v</code> - vector to add</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
+</li>
+</ul>
+<a name="subtract(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
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+<ul class="blockList">
+<li class="blockList">
+<h4>subtract</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;subtract(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Subtract a vector from the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(org.apache.commons.math3.geometry.Vector)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - vector to subtract</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
+</li>
+</ul>
+<a name="subtract(double, org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>subtract</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;subtract(double&nbsp;factor,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Subtract a scaled vector from the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(double,%20org.apache.commons.math3.geometry.Vector)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>factor</code> - scale factor to apply to v before subtracting it</dd><dd><code>v</code> - vector to subtract</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
+</li>
+</ul>
+<a name="normalize()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>normalize</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;normalize()
+ throws <a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
+<div class="block">Get a normalized vector aligned with the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#normalize()">normalize</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new normalized vector</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the norm is zero</dd></dl>
+</li>
+</ul>
+<a name="orthogonal()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>orthogonal</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;orthogonal()
+ throws <a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
+<div class="block">Get a vector orthogonal to the instance.
+ <p>There are an infinite number of normalized vectors orthogonal
+ to the instance. This method picks up one of them almost
+ arbitrarily. It is useful when one needs to compute a reference
+ frame with one of the axes in a predefined direction. The
+ following example shows how to build a frame having the k axis
+ aligned with the known vector u :
+ <pre><code>
+ Vector3D k = u.normalize();
+ Vector3D i = k.orthogonal();
+ Vector3D j = Vector3D.crossProduct(k, i);
+ </code></pre></p></div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>a new normalized vector orthogonal to the instance</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the norm of the instance is null</dd></dl>
+</li>
+</ul>
+<a name="angle(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>angle</h4>
+<pre>public static&nbsp;double&nbsp;angle(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)
+ throws <a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
+<div class="block">Compute the angular separation between two vectors.
+ <p>This method computes the angular separation between two
+ vectors using the dot product for well separated vectors and the
+ cross product for almost aligned vectors. This allows to have a
+ good accuracy in all cases, even for vectors very close to each
+ other.</p></div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>angular separation between v1 and v2</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if either vector has a null norm</dd></dl>
+</li>
+</ul>
+<a name="negate()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>negate</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;negate()</pre>
+<div class="block">Get the opposite of the instance.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#negate()">negate</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector which is opposite to the instance</dd></dl>
+</li>
+</ul>
+<a name="scalarMultiply(double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>scalarMultiply</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;scalarMultiply(double&nbsp;a)</pre>
+<div class="block">Multiply the instance by a scalar.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#scalarMultiply(double)">scalarMultiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - scalar</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
+</li>
+</ul>
+<a name="isNaN()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>isNaN</h4>
+<pre>public&nbsp;boolean&nbsp;isNaN()</pre>
+<div class="block">Returns true if any coordinate of this point is NaN; false otherwise</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#isNaN()">isNaN</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>true if any coordinate of this point is NaN; false otherwise</dd></dl>
+</li>
+</ul>
+<a name="isInfinite()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>isInfinite</h4>
+<pre>public&nbsp;boolean&nbsp;isInfinite()</pre>
+<div class="block">Returns true if any coordinate of this vector is infinite and none are NaN;
+ false otherwise</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#isInfinite()">isInfinite</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>true if any coordinate of this vector is infinite and none are NaN;
+ false otherwise</dd></dl>
+</li>
+</ul>
+<a name="equals(java.lang.Object)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>equals</h4>
+<pre>public&nbsp;boolean&nbsp;equals(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</pre>
+<div class="block">Test for the equality of two 3D vectors.
+ <p>
+ If all coordinates of two 3D vectors are exactly the same, and none are
+ <code>Double.NaN</code>, the two 3D vectors are considered to be equal.
+ </p>
+ <p>
+ <code>NaN</code> coordinates are considered to affect globally the vector
+ and be equals to each other - i.e, if either (or all) coordinates of the
+ 3D vector are equal to <code>Double.NaN</code>, the 3D vector is equal to
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html#NaN"><code>NaN</code></a>.
+ </p></div>
+<dl>
+<dt><strong>Overrides:</strong></dt>
+<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - Object to test for equality to this</dd>
+<dt><span class="strong">Returns:</span></dt><dd>true if two 3D vector objects are equal, false if
+ object is null, not an instance of Vector3D, or
+ not equal to this Vector3D instance</dd></dl>
+</li>
+</ul>
+<a name="hashCode()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>hashCode</h4>
+<pre>public&nbsp;int&nbsp;hashCode()</pre>
+<div class="block">Get a hashCode for the 3D vector.
+ <p>
+ All NaN values have the same hash code.</p></div>
+<dl>
+<dt><strong>Overrides:</strong></dt>
+<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>a hash code value for this object</dd></dl>
+</li>
+</ul>
+<a name="dotProduct(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>dotProduct</h4>
+<pre>public&nbsp;double&nbsp;dotProduct(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the dot-product of the instance and another vector.
+ <p>
+ The implementation uses specific multiplication and addition
+ algorithms to preserve accuracy and reduce cancellation effects.
+ It should be very accurate even for nearly orthogonal vectors.
+ </p></div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#dotProduct(org.apache.commons.math3.geometry.Vector)">dotProduct</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the dot product this.v</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/util/MathArrays.html#linearCombination(double,%20double,%20double,%20double,%20double,%20double)"><code>MathArrays.linearCombination(double, double, double, double, double, double)</code></a></dd></dl>
+</li>
+</ul>
+<a name="crossProduct(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>crossProduct</h4>
+<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;crossProduct(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the cross-product of the instance with another vector.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - other vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the cross product this ^ v as a new Vector3D</dd></dl>
+</li>
+</ul>
+<a name="distance1(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distance1</h4>
+<pre>public&nbsp;double&nbsp;distance1(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>1</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>q.subtract(p).getNorm1()</code> except that no intermediate
+ vector is built</p></div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distance1(org.apache.commons.math3.geometry.Vector)">distance1</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>1</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distance(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distance</h4>
+<pre>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>2</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>q.subtract(p).getNorm()</code> except that no intermediate
+ vector is built</p></div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distance(org.apache.commons.math3.geometry.Vector)">distance</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>2</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distance(org.apache.commons.math3.geometry.Point)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distance</h4>
+<pre>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the distance between the instance and another point.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#distance(org.apache.commons.math3.geometry.Point)">distance</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second point</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p</dd></dl>
+</li>
+</ul>
+<a name="distanceInf(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distanceInf</h4>
+<pre>public&nbsp;double&nbsp;distanceInf(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the distance between the instance and another vector according to the L<sub>&infin;</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>q.subtract(p).getNormInf()</code> except that no intermediate
+ vector is built</p></div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distanceInf(org.apache.commons.math3.geometry.Vector)">distanceInf</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>&infin;</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distanceSq(org.apache.commons.math3.geometry.Vector)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distanceSq</h4>
+<pre>public&nbsp;double&nbsp;distanceSq(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;v)</pre>
+<div class="block">Compute the square of the distance between the instance and another vector.
+ <p>Calling this method is equivalent to calling:
+ <code>q.subtract(p).getNormSq()</code> except that no intermediate
+ vector is built</p></div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distanceSq(org.apache.commons.math3.geometry.Vector)">distanceSq</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the square of the distance between the instance and p</dd></dl>
+</li>
+</ul>
+<a name="dotProduct(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>dotProduct</h4>
+<pre>public static&nbsp;double&nbsp;dotProduct(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the dot-product of two vectors.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the dot product v1.v2</dd></dl>
+</li>
+</ul>
+<a name="crossProduct(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>crossProduct</h4>
+<pre>public static&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;crossProduct(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the cross-product of two vectors.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the cross product v1 ^ v2 as a new Vector</dd></dl>
+</li>
+</ul>
+<a name="distance1(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distance1</h4>
+<pre>public static&nbsp;double&nbsp;distance1(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the distance between two vectors according to the L<sub>1</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>v1.subtract(v2).getNorm1()</code> except that no intermediate
+ vector is built</p></div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between v1 and v2 according to the L<sub>1</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distance(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distance</h4>
+<pre>public static&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the distance between two vectors according to the L<sub>2</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>v1.subtract(v2).getNorm()</code> except that no intermediate
+ vector is built</p></div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between v1 and v2 according to the L<sub>2</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distanceInf(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distanceInf</h4>
+<pre>public static&nbsp;double&nbsp;distanceInf(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the distance between two vectors according to the L<sub>&infin;</sub> norm.
+ <p>Calling this method is equivalent to calling:
+ <code>v1.subtract(v2).getNormInf()</code> except that no intermediate
+ vector is built</p></div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the distance between v1 and v2 according to the L<sub>&infin;</sub> norm</dd></dl>
+</li>
+</ul>
+<a name="distanceSq(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>distanceSq</h4>
+<pre>public static&nbsp;double&nbsp;distanceSq(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v1,
+ <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;v2)</pre>
+<div class="block">Compute the square of the distance between two vectors.
+ <p>Calling this method is equivalent to calling:
+ <code>v1.subtract(v2).getNormSq()</code> except that no intermediate
+ vector is built</p></div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v1</code> - first vector</dd><dd><code>v2</code> - second vector</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the square of the distance between v1 and v2</dd></dl>
+</li>
+</ul>
+<a name="toString()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>toString</h4>
+<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString()</pre>
+<div class="block">Get a string representation of this vector.</div>
+<dl>
+<dt><strong>Overrides:</strong></dt>
+<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>a string representation of this vector</dd></dl>
+</li>
+</ul>
+<a name="toString(java.text.NumberFormat)">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>toString</h4>
+<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString(<a href="http://docs.oracle.com/javase/7/docs/api/java/text/NumberFormat.html?is-external=true" title="class or interface in java.text">NumberFormat</a>&nbsp;format)</pre>
+<div class="block">Get a string representation of this vector.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#toString(java.text.NumberFormat)">toString</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;</code></dd>
+<dt><span class="strong">Parameters:</span></dt><dd><code>format</code> - the custom format for components</dd>
+<dt><span class="strong">Returns:</span></dt><dd>a string representation of this vector</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+</div>
+<!-- ========= END OF CLASS DATA ========= -->
+<!-- ======= START OF BOTTOM NAVBAR ====== -->
+<div class="bottomNav"><a name="navbar_bottom">
+<!-- -->
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+<li><a href="package-summary.html">Package</a></li>
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+<li><a href="class-use/Vector3D.html">Use</a></li>
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+<li><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3DFormat.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><span class="strong">Next Class</span></a></li>
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