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Q.

A line joining point P with the origin makes angles of 45o and 60o with the positive axes of X and Y respectively. 

The angle made by the same line with the positive axis of Z is

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a

90o or 120o

b

60o or 90o

c

60o or 120o

d

30o or 60o

answer is D.

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Detailed Solution

detailed_solution_thumbnail

 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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