If a line makes an angle of with the positive directions of each of -axis and -axis

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If a line makes an angle of

\frac{\pi}{4}

with the positive directions of each of

X

-axis and

Y

-axis, then the angle that the line makes with the positive direction of the

Z

-axis is (1)

\pi/6

(2)

\pi/3

(3)

\pi/4

(4)

\pi/2