Let and . Find…

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

Problem

Let

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

and

\mathbf{b}=4\mathbf{i}-2\mathbf{k}

. Find

2\mathbf{a}-\dfrac12\,\mathbf{b}

. (a)

6\mathbf{i}-2\mathbf{j}+5\mathbf{k}

(b)

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

(c)

2\mathbf{i}-2\mathbf{j}+7\mathbf{k}

(d)

2\mathbf{i}+2\mathbf{j}+7\mathbf{k}