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MHT CET202410 May 2024Morning ShiftMathematicsVector AlgebraActual

If a = i - k , b =x i + j +(1-x) k and c =y i +x j +(1+x-y) k then a ( b c ) depends on

Options

  1. Aonly x
  2. Bonly y
  3. Cneither x nor y
  4. Dboth x and y

Correct answer

C. neither x nor y

Step-by-step solution

[ array lll a & ~b & c array ]= | array ccc 1 & 0 & -1 x & 1 & 1-x y & x & 1+x-y array | Applying C ₃ C ₃+ C ₁ , we get [ a ~b c ]= | array ccc 1 & 0 & 0 x & 1 & 1 y & x & 1+x array |=1(1+x-x)=1

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