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<record version="4" id="1285">
 <title>orthogonal vectors</title>
 <name>OrthogonalVectors</name>
 <created>2002-01-04 23:58:24</created>
 <modified>2003-08-27 12:58:12</modified>
 <type>Definition</type>
 <creator id="2" name="akrowne"/>
 <author id="2" name="akrowne"/>
 <classification>
	<category scheme="msc" code="15-00"/>
 </classification>
 <related>
	<object name="GramSchmidtOrthogonalization"/>
 </related>
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 <content>Two vectors, $v_1$ and $v_2$, are orthogonal if and only if their inner product $\left&lt;x,y\right&gt;$is 0.  In two dimensions, orthogonal vectors are perpendicular (or in $n$ dimensions in the plane defined by the two vectors.)

A set of vectors is orthogonal when, taken pairwise, any two vectors in the set are orthogonal.</content>
</record>
