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Question

Two non - zero vectors A and B are such that |A+B|=|AB|. Find angle between A and B?

A
0
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B
π4
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C
π2
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D
π
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Solution

The correct option is C π2
According to question,
|A+B|=|AB|
A2+B2+2ABcosθ=A2+B22ABcos θ
4ABcosθ=0
cosθ=0
θ=π2

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