Determine the unit vector in the direction of the vector .

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

Problem

Determine the unit vector in the direction of the vector

\mathbf{b}=6\mathbf{i}-2\mathbf{j}+3\mathbf{k}

. (a)

\dfrac{6}{\sqrt{41}}\mathbf{i}-\dfrac{2}{\sqrt{41}}\mathbf{j}+\dfrac{3}{\sqrt{41}}\mathbf{k}

(b)

\dfrac{6}{7}\mathbf{i}+\dfrac{2}{7}\mathbf{j}+\dfrac{3}{7}\mathbf{k}

(c)

\dfrac{6}{7}\mathbf{i}-\dfrac{2}{7}\mathbf{j}+\dfrac{3}{7}\mathbf{k}

(d)

\dfrac{6}{7}\mathbf{i}-\dfrac{2}{7}\mathbf{j}-\dfrac{3}{7}\mathbf{k}