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MHT CET20242 May 2024Morning ShiftMathematicsVector AlgebraActual

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

Options

  1. A-8
  2. B8
  3. C10
  4. D8 3

Correct answer

B. 8

Step-by-step solution

( a + b )=(2- ) i +(2+2 ) j +(3+ ) k Since a + b is perpendicular to c aligned & ( a + b ) c =0 & (2- )(3)+(2+2 )(1)+(3+ )(0)=0 & 6-3 +2+2 =0 & =8 aligned

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