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Questions  

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?

a
π4
b
π2
c
3π4
d
π

detailed solution

Correct option is C

From the figure, B cos θ = C                           …(i)and B sin θ  = A                                               …(ii) Given, IAI = I CI∴IB cos θ| = IB sin θ| or θ = 450Hence, angle between A and B is 1350 or  3π4

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