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A line makes an angle of π3with the positive direction of x-axis and an angle of π4with the positive direction of z-axis. Then the angle that the line makes with the positive direction of y-axis, is

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a

π4

b

π6

c

π3

d

π2

answer is A.

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Detailed Solution

If α,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction then cos2α+cos2β+cos2γ=1Given α=π3,γ=π4Hence, 14+cos2β+12=1⇒cosβ=12Therefore, β=π4

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