The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is

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1200

1500

135o

None of these

answer is B.

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Detailed Solution

B2 = A2+B2+2ABcosθ ----(i)∴ tan900 = BsinθA+Bcosθ ⇒ A+Bcosθ = 0∴ cosθ = -ABHence, from (i) B24 = A2+B2-2A2 ⇒ A = 3B2⇒cosθ = -AB = -32 ∴θ = 1500

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