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Question

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

A
60
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B
0
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C
120
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D
90
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Solution

The correct option is A 60
¯¯¯¯A¯¯¯¯B=¯¯¯¯A=¯¯¯¯B
¯¯¯¯A¯¯¯¯B2=¯¯¯¯A2+¯¯¯¯B22¯¯¯¯A.¯¯¯¯Bcosθ
¯¯¯¯A2=¯¯¯¯A2+¯¯¯¯A22¯¯¯¯A2cosθ
(¯¯¯¯A¯¯¯¯B=¯¯¯¯Aand¯¯¯¯A=¯¯¯¯B)
¯¯¯¯A2=2¯¯¯¯A2cosθ
cosθ=12
θ=π3or60
A)ans.

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