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BITSAT2011MathematicsVector AlgebraActual

Two vectors ( A ) and ( B ) are such that (| A + B |=| A - B | ). The angle between the two vectors will be-

Options

  1. A(60^ )
  2. B(90^ )
  3. C(180^ )
  4. D(0^ )

Correct answer

B. (90^ )

Step-by-step solution

( A + B |=| A - B ) ( A ^2+ B ^2+2 AB = A ^2+ B ^2-2 AB ) Squaring both the sides, we get ( A ^2+ B ^2+2 A B = A ^2+ B ^2-2 A B ) or (4 A B =0 ) or ( =0 ) (since the scalar or dot product is zero). Therefore angle between ( A ) to ( B ) is (90^ )

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