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Revision difference : orthogonal vectors
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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.) 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. A set of vectors is orthogonal when, taken pairwise, any two vectors in the set are orthogonal.