Given and , find the value of that satisfies…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given

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

and

\mathbf{b}=-6\hat{i}+4\hat{j}-2\hat{k}

, find the value of

k

that satisfies

k\mathbf{a}+\mathbf{b}=\mathbf{0}

. (a)

-\dfrac{1}{2}

(b) 2 (c)

-2

(d)

\dfrac{1}{2}