27 lines
1.5 KiB
Markdown
27 lines
1.5 KiB
Markdown
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title: Orthogonality
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---
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## Orthogonality
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In mathematics and linear algebra, two vectors u and v are said to be orthogonal when their dot product is 0:
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Orthogonality can be thought of as <a href = "http://mathworld.wolfram.com/Perpendicular.html">perpendicularity</a> generalized to higher dimensional vector spaces, since the two are the same- they imply that a right angle is formed by the line, plane, or vector.
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The following are all examples of orthogonality:
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1. If two vectors are perpendicular, that is, they meet or intersect at a right (90 degree) angle, they are orthogonal.
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2. Two vectors are orthogonal if their inner product (dot product) is equal to 0.
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3. Two vector subspaces A and B in V are orthogonal if every vector in V is orthogonal to every vector in B.
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#### More Information:
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1. http://mathworld.wolfram.com/Orthogonal.html
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2. http://mathworld.wolfram.com/Perpendicular.html
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