Find a vector of magnitude 7 units that is perpendicular to both the vectors and

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

Problem

Find a vector of magnitude 7 units that is perpendicular to both the vectors

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

and

\mathbf{b}=\hat{i}+3\hat{j}-2\hat{k}

. (Any one of the possible directions is acceptable.)