If and , then find the vector satisfying the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

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

and

\mathbf{b} = 2\hat{i} + \hat{k}

, then find the vector

\mathbf{x}

satisfying the conditions. (i) that it is coplanar with

\mathbf{a}

and

\mathbf{b}

. (ii) it is perpendicular to

\mathbf{b}

. (iii)

\mathbf{a} \cdot \mathbf{x} = 7