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MHT CET202211 Aug 2022Morning ShiftMathematicsVector AlgebraActual

If the vectors 2 i -3 j +6 k and b are collinear and | b |=14 , then b has the value

Options

  1. A4 i +6 j +12 k
  2. B-4 i -6 j -12 k
  3. C4 i -6 j +12 k
  4. D12 i +5 j + 17 k

Correct answer

C. 4 i -6 j +12 k

Step-by-step solution

b =14 ( 2 i -3 j +6 k 2^2+(-3)^2+6^2 )=14 ( 2 i -3 j +6 k 7 )=4 i -6 j +12 k

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