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^+Rzk^Rx=1,Ry=1,Rz=2 and |R→|=Rx2+Ry2+Rz2=2cos⁡α=RxR=12⇒α=60∘cos⁡β=RyR=12⇒β=60∘cos⁡γ=RzR=12⇒γ=45∘