Find the direction cosines of a vector which is equally inclined to

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

Problem

Find the direction cosines of a vector

\mathbf{r}

which is equally inclined to

OX

OY

and

OZ

. If

|\mathbf{r}|

is given, find the total number of such vectors.