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AP EAMCET2016MathematicsVector Algebra

If a =2 i +3 j -5 k , b =m i +n j +12 k and a b = 0 , then (m, n) is equal to

Options

  1. A( -24 5 , -36 5 )
  2. B( -24 5 , 36 5 )
  3. C( 24 5 , -36 5 )
  4. D( 24 5 , 36 5 )

Correct answer

A. ( -24 5 , -36 5 )

Step-by-step solution

We have, a=2 i +3 j -5 k b=m i +n j +12 k Since, a b=0 a | b aligned & 2 m = 3 n = -5 12 & m=- 24 5 and n=- 36 5 aligned Thus, (m, n)= (- 24 5 ,- 36 5 )

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