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What is the projection of the vector i -2 j + k on the vector 4 i -4 j +7 k ?

Options

  1. A5 2
  2. B19 9
  3. C5 4
  4. D11 3

Correct answer

B. 19 9

Step-by-step solution

Projection of the vector i -2 j + k on the vector aligned 4 i -4 j +7 k & = ( i -2 j + k ) (4 i -4 j +7 k ) |4 i -4 j +7 k | & = 4+8+7 16+16+49 = 19 81 = 19 9 . aligned

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