Show that the direction cosines of a vector equally inclined to the axes and are .

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

11. Show that the direction cosines of a vector equally inclined to the axes

\mathrm{OX}, \mathrm{OY}

and

O Z

are

\pm\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)