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MHT CET202410 May 2024Evening ShiftMathematicsVector AlgebraActual

a = i + j + k , b =4 i -2 j +3 k , c = i -2 j + k , then a vector of magnitude 6 units, which is parallel to the vector 2 a - b +3 c , is

Options

  1. A2 i -4 j +4 k
  2. Bi - j +2 k
  3. C4 i +4 j -2 k
  4. D2 i +4 j +4 k

Correct answer

A. 2 i -4 j +4 k

Step-by-step solution

aligned & a - b +3 c = & (2-4+3) i +(2+2-6) j +(2-3+3) k = & i -2 j +2 k aligned Required vector is the multiple of the above vector and has magnitude 6 units. Option (A) satisfies this condition.

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