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orthogonal vectors
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(Definition)
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Two vectors, $v_1$ and $v_2$ are orthogonal if and only if their inner product $\left<x,y\right>$ 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.
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"orthogonal vectors" is owned by akrowne.
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Cross-references: plane, perpendicular, dimensions, inner product, orthogonal, vectors
There are 9 references to this entry.
This is version 4 of orthogonal vectors, born on 2002-01-04, modified 2003-08-27.
Object id is 1285, canonical name is OrthogonalVectors.
Accessed 19413 times total.
Classification:
| AMS MSC: | 15-00 (Linear and multilinear algebra; matrix theory :: General reference works ) |
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Pending Errata and Addenda
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