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AP EAMCET202021 Sep 2020Evening ShiftMathematicsThree Dimensional GeometryActual

Let ( u =-2 i +2 j + k ) and ( v = i -2 j +2 k ). Then the component of ( v ) on ( u ) is

Options

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

Correct answer

B. ( -4 3 )

Step-by-step solution

Given vectors are ( u =-2 i +2 j + k ) and ( v = i -2 j +2 k ) ( ) Component of ( v ) on ( u ) is (= v u | u | = -2-4+2 4+4+1 = -4 3 ) Hence, option (b) is correct.

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