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MHT CET20227 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The vector projection of b on, a =3 i +2 j +5 k and b =7 i -5 j - k

Options

  1. A6(3 i +2 j +5 k ) 38
  2. B3(3 i +2 j +5 k ) 38
  3. C3(3 i +2 j +5 k ) 19
  4. D3(3 i +2 j +5 k ) 38

Correct answer

C. 3(3 i +2 j +5 k ) 19

Step-by-step solution

The vector projection of b on a aligned & = ( b a | a | ) a & = ( b a | a |^2 ) a & = ( 7 3+(-5) 2+(-1) 5 3^2+2^2+5^2 )(3 i +2 j +5 k ) & = 6 38 (3 i +2 j +5 k ) & = 3 19 (3 i +2 j +5 k ) aligned

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