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MHT CET202416 May 2024Evening ShiftMathematicsVector AlgebraActual

If a =2 i +2 j +3 k , b =- i +2 j + k and c =3 i + j are the vectors such that a + b is perpendicular to c , then value of is

Options

  1. A6
  2. B-6
  3. C8
  4. D-8

Correct answer

C. 8

Step-by-step solution

aligned & a + b =2 i +2 j +3 k + (- i +2 j + k ) & =(2- ) i +(2+2 ) j +(3+ ) k & ( a + b ) c =0 & (2- )(3)+(2+2 )(1)+(3+ )(0)=0 & 8- =0 & =8 aligned

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