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MHT CET202313 May 2023Morning ShiftMathematicsVector AlgebraActual

If a =2 i +3 j -4 k and b = i - j - k , then the projection of b in the direction of a is

Options

  1. A1 29
  2. B2 3
  3. C5 3
  4. D3 29

Correct answer

D. 3 29

Step-by-step solution

Projection of b in the direction of a = a b | a | aligned & = (2 i +3 j -4 k ) ( i - j - k ) 2^2+3^2+(-4)^2 & = 2-3+4 4+9+16 = 3 29 aligned

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