If and are angles made by a line with positive direction of -axis, -axis and -axis…

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

Problem

\alpha, \beta

and

\gamma

are angles made by a line with positive direction of

X

-axis,

Y

-axis and

Z

-axis respectively, then find the value of

\cos 2\alpha + \cos 2\beta + \cos 2\gamma