For two non-zero

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For two non-zero, non-parallel vectors

\vec{a}

and

\vec{b}

, which one of the following statements is always true about

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

? (a) It lies in the plane determined by

\vec{a}

and

\vec{b}

. (b) It is parallel to

\vec{a}

. (c) It is perpendicular to both

\vec{a}

and

\vec{b}

. (d) Its magnitude equals

|\vec{a}||\vec{b}|\cos\theta

, where

\theta

is the angle between

\vec{a}

and

\vec{b}