Find a unit vector perpendicular to the vectors and .

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

Problem

Find a unit vector perpendicular to the vectors

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

and

\mathbf{b}=\mathbf{i}-3\mathbf{j}+4\mathbf{k}

. (a)

\dfrac{1}{\sqrt{131}}\,(\,\mathbf{i}-9\mathbf{j}+7\mathbf{k}\,)

(b)

\dfrac{1}{\sqrt{131}}\,(\,\mathbf{i}-9\mathbf{j}-7\mathbf{k}\,)

(c)

\dfrac{1}{131}\,(\,\mathbf{i}-9\mathbf{j}-7\mathbf{k}\,)

(d)

\dfrac{1}{\sqrt{107}}\,(\,\mathbf{i}-9\mathbf{j}-5\mathbf{k}\,)