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NEET2007PhysicsMathematics in PhysicsActual

A and B are two vectors and is the angle between them, if | A B |= 3 ( A B ) , the value of is.

Options

  1. A45^
  2. B30^
  3. C90^
  4. D60^

Correct answer

D. 60^

Step-by-step solution

Finding the angle between the vectors: ( aligned & | A B |= 3 ( AB ) & | A || B | ( )= 3 | ~A || B | ( ) aligned ) Cancelling both sides we get ( aligned & ( )= 3 ( ) & ( ) ( ) = 3 & ( )= 3 aligned ) Hence ( =60^ ) Hence the angle between A and B is (60^ )

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