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

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