If two vectors are and

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

Problem

If two vectors are

\mathbf{a}=2\hat{i}+\hat{j}-\hat{k}

and

\mathbf{b}=\hat{j}-4\hat{k}

, prove by calculation that

\mathbf{a}\times\mathbf{b}

is perpendicular to both

\mathbf{a}

and

\mathbf{b}