Let and . Find a vector which is perpendicular to both and , and…

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

Problem

12. Let

\vec{a}=\hat{i}+4 \hat{j}+2 \hat{k}, \vec{b}=3 \hat{i}-2 \hat{j}+7 \hat{k}

and

\vec{c}=2 \hat{i}-\hat{j}+4 \hat{k}

. Find a vector

\vec{d}

which is perpendicular to both

\vec{a}

and

\vec{b}

, and

\vec{c} \cdot \vec{d}=15