Q.

The angles which a vector i^+j^+2k makes with X, Y and Z axes respectively are

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a

600, 600, 600

b

450, 450, 450

c

600, 600, 450

d

450, 450, 600

answer is C.

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Detailed Solution

R→ =i^+j^+2k^comparing the given vector with R→ =Rxi^+Ryj^+Rsk^Rx = 1,  Ry = 2   and  |R→|  =  Rx2+Ry2+Rz2  =  2cos α = RxR = 12 ⇒ α = 600cosβ = RyR = 12   ⇒  β = 600cosγ = RzR= 12  ⇒ γ = 450
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The angles which a vector i^+j^+2k makes with X, Y and Z axes respectively are