Given that A+B=C and that C is perpendicular to A further if |A|=|C|, then what is the angle between A and B?

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2π5

5π6

3π4

2π3

answer is C.

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Detailed Solution

C is perpendicular to A. Therefore,Bsinα=Atanα=1 or α=45°Therefore, angle between A and B isθ=90°+α=135° or 3π4

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