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AP EAMCET202422 May 2024Morning ShiftMathematicsVector AlgebraActual

If f = i + j + k and g =2 i - j +3 k then the projection vector of f on g is

Options

  1. A2 7 ( i + j + k )
  2. B2 7 (2 i - j +3 k )
  3. C1 3 ( i + j + k )
  4. D1 14 (2 i - j +3 k )

Correct answer

B. 2 7 (2 i - j +3 k )

Step-by-step solution

f = i + j + k and g =2 i - j +3 k Projection of f on g = f g | g |^2 g = (2-1+3) (4+1+9) (2 i - j +3 k )= 2 7 (2 i - j +3 k )

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