Explain in one or two sentences why the vector is perpendicular to both and when and…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Explain in one or two sentences why the vector

\vec{a}\times\vec{b}

is perpendicular to both

\vec{a}

and

\vec{b}

when

\vec{a}

and

\vec{b}

are non-zero and not parallel.