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AP EAMCET202423 May 2024Morning ShiftMathematicsVector AlgebraActual

The orthogonal projection vector of a =2 i +3 j +3 k on b = i -2 j + k is

Options

  1. A- 1 6 (2 i +3 j +3 k )
  2. B1 6 (- i +2 j - k )
  3. Ci -2 j + k
  4. D- i +2 j - k

Correct answer

B. 1 6 (- i +2 j - k )

Step-by-step solution

Orthogonal projection vector a on b aligned & = a b | b |^2 b = 2-6+3 1+4+1 ( i -2 j + k ) & = -1 6 ( i -2 j + k )= 1 6 (- i +2 j - k ) aligned

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