Find the unit vector in the direction of .

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

Problem

Find the unit vector in the direction of

3\mathbf{i}-4\mathbf{j}+12\mathbf{k}

. (a)

\left(\dfrac{3}{169},-\dfrac{4}{169},\dfrac{12}{169}\right)

(b)

\left(\dfrac{3}{\sqrt{61}},-\dfrac{4}{\sqrt{61}},\dfrac{12}{\sqrt{61}}\right)

(c)

\left(\dfrac{3}{13},-\dfrac{4}{13},\dfrac{12}{13}\right)

(d)

\left(\dfrac{3}{13},\dfrac{4}{13},\dfrac{12}{13}\right)