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KCET2017MathematicsDefinite Integration

If ( a =2 i + j + k ) and ( b = i +2 j +3 k ) are orthogonal then the value of ( ) is

Options

  1. A( 00 )
  2. B( 11 )
  3. C( 3 2 )
  4. D( - 5 2 )

Correct answer

D. ( - 5 2 )

Step-by-step solution

Given, [ array l a =2 i + j + k (1) b = i +2 j +3 k (2) array ] For vectors to be perpendicular, [ array l a b 2 1+2 +3 1=0 5+2 =0 =- 5 2 array ]

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