Mathematics

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}