Let and . Find the scalar such that…

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

Let

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

and

\mathbf{b}=-6\hat{i}+3\hat{j}-9\hat{k}

. Find the scalar

k

such that

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