Math miscellaneousHard
Question
If a line makes an angle of
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
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 isOptions
A.

B.

C.

D.

Solution
I = cos
, m = cos 
we know l2 + m2 + n2 = 1
+ n2 = 1
⇒ n = 0
Hence angle with positive direction of z-axis is
.
, m = cos 
we know l2 + m2 + n2 = 1
+ n2 = 1⇒ n = 0
Hence angle with positive direction of z-axis is
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