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Question

The angle between the two vectors A=^i+2^j^k and B=^i+^j2^k is:

A
90o
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B
30o
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C
45o
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D
60o
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Solution

The correct option is C 60o
Angle between two vectors is given as cosθ=A.B|A||B|

cosθ=(^i+2^j^k).(^i+^j2^k)12+22+12×12+12+22

cosθ=(1+2+2)6×6

cosθ=36=12

θ=60

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