If a line OP makes angles of 45o and 60o with the positive axes of X and Y respectively. The angle made by OP with the positive axis of Z is

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30o or 60o

60o or 90o

90o or 120o

60o or 120o

answer is D.

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Detailed Solution

Given α=45∘,β=60∘Now,cos2⁡α+cos2⁡β+cos2⁡γ=1∴ cos2⁡γ=1−12−14=14⇒ γ=60∘ or 120∘

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