Determine the unit vector that makes equal positive angles with all three coordinate axes.

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

Problem

Determine the unit vector that makes equal positive angles with all three coordinate axes. (a)

\dfrac{1}{\sqrt{2}}\,(\hat{i}+\hat{j}+\hat{k})

(b)

\dfrac{1}{3}\,(\hat{i}+\hat{j}+\hat{k})

(c)

\dfrac{1}{\sqrt{3}}\,(\hat{i}+\hat{j}+\hat{k})

(d)

\hat{i}+\hat{j}+\hat{k}