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COMEDK2013MathematicsVector Algebra

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

Options

  1. A1 14
  2. B2 14
  3. C14
  4. D-2 14

Correct answer

B. 2 14

Step-by-step solution

We have, a=2 i +3 j -2 k , b = i +2 j +3 k Now, aligned & aligned a b &=(2 i +3 j -2 k ) ( i +2 j +3 k ) &=2+6-6=2 | b | &= ( 1 )²+(2)²+(3)² &= 1+4+9 = 14 aligned aligned

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