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NEET2007PhysicsMathematics in PhysicsActual

If the angle between the vectors A and B is , the value of the product ( B A ) A is equal to

Options

  1. AB A^2
  2. BB A^2
  3. CB A^2
  4. Dzero

Correct answer

D. zero

Step-by-step solution

( B A ) A aligned & =B A n A & =0 aligned Here n is perpendicular to both A and B . Alternative : ( B A ) A Interchange the cross and dot, we have, ( B A ) A = B ( A A )=0 ( A A =0) NOTE: The volume of a parallelopiped bounded by vectors A , A and A can be obtained by giving formula ( A A ) A

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