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Question

The angles which is a vector ˆi+ˆj+2ˆk makes with X, y and Z axes respectively are

A
60o, 60o, 60o
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B
45o, 45o, 45o
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C
60o, 60o, 45o
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D
45o, 45o, 60o
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Solution

The correct option is C 60o, 60o, 45o
R=ˆi+ˆj+2ˆk
Comparing the given vectro with R=Rxˆi+Ryˆj+Rzˆk
Rx=1, Ry=1, Rz=2 and |R|=R2x+R2y+R2z=2
cosα=RxR=12α=60o
cosβ=RyR=12β=60o
cosγ=RzR=12γ=45o

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