If a line makes an angle of 4 π 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

Question

If a line makes an angle of 4 π ​ 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

TestHub · Accepted Answer

l = cos 4 π ​ , m = cos 4 π ​ we know l 2 + m 2 + n 2 = 1 ​ 2 1 ​ + 2 1 ​ + n 2 = 1 ⇒ n = 0 ​ Hence angle with positive direction of z − axis is 2 π ​ .

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