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

Question

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, 6 41, 32 41, 16 41, 7 5

MARKS App · Accepted Answer

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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