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The projection of 2 i ^ - 3 j ^ + 4 k ^ on the line whose equation is r → = 3 + λ i ^ + 3 - 2 λ j ^ + 5 + 6 λ k ^ , where λ is a scalar parameter, is

Options

  1. A6 41
  2. B32 41
  3. C16 41
  4. D7 5

Correct answer

B. 32 41

Step-by-step solution

Given line is parallel to i ^ - 2 j ^ + 6 k ^ = b → (let) Let a → = 2 i ^ - 3 j ^ + 4 k ^ Projection of a → on b → is a → ⋅ b → b → = 2 + 6 + 24 41 = 32 41

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