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MHT CET20228 Aug 2022Morning ShiftMathematicsVector AlgebraActual

If a = i + j + k , b = i - j +2 k , c =x i +(x-2) j - k and c is linear combination of a and b , then x has the value

Options

  1. A1
  2. B-2
  3. C0
  4. D-4

Correct answer

B. -2

Step-by-step solution

aligned & c = b + a & x i +(x-2) j - k =( i - j +2 k )+ ( i + j + k ) & x=1+ , x-2=-1+ and -1=2+ & =-3 and x=-2 aligned

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