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Question

Two vectors A and B have magnitude 3 each. If A×B=5^k+2^i, then the angle between A and B is
  1. sin1(25)
  2. sin1(299)
  3. tan1(52)
  4. cos1(299)


Solution

The correct option is B sin1(299)
As we know from the cross product sinθ=|A×B||A||B|
 sinθ=(5)2+223×3=299
 θ=sin1(299)

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