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Question

If |A+B|=|AB|, then the angle between A and B is:

A
1200
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B
00
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C
900
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D
1800
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Solution

The correct option is C 900
The magnitudes of ¯¯¯¯A and ¯¯¯¯B are equal.
Hence, A2+B2+2ABcos(θ)=A2+B22ABcos(θ)
2×2ABcos(θ)=0
cos(θ)=0
θ=900

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