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# orthogonal vectors

Two vectors, $v_{1}$ and $v_{2}$, are orthogonal if and only if their inner product $\left<x,y\right>$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.

Related:

GramSchmidtOrthogonalization

Type of Math Object:

Definition

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Reference

## Mathematics Subject Classification

15-00*no label found*

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