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Questions  

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

a
600, 600, 600
b
450, 450, 450
c
600, 600, 450
d
450, 450, 600

detailed solution

Correct option is C

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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A vector 2i^+2j^ rotated about its tail through an angle 450 in clockwise direction. Then the new vector is


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