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What is the length of projection of the vector i +2 j +3 k on the vector 2 i +3 j -2 k ?

Options

  1. A1 17
  2. B2 17
  3. C3 17
  4. D2 14

Correct answer

B. 2 17

Step-by-step solution

Length of projection of the vector i +2 j +3 k on the vector 2 i +3 j -2 k is ( i +2 j +3 k ) (2 i +3 j -2 k ) |2 i +3 j -2 k | = 2+6-6 4+9+4 = 2 17

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