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Q.

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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a

1200

b

1500

c

135o

d

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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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