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Manipal MET2017MathematicsVector Algebra

a = 1 7 (2 i +3 j +6 k ), b = 1 7 (3 i - j +2 k ) . If a and b are mutually perpendicular, then value of is

Options

  1. A2
  2. B-1
  3. C6
  4. D-6

Correct answer

C. 6

Step-by-step solution

Given, a = 1 7 (2 i +3 j +6 k ), b = 1 7 (3 i - j +2 k ) Since, the vectors a and b are perpendicular. array ll & a b =0 & 1 7 (2 i +3 j +6 k ) 1 7 (3 i - j +2 k )=0 & 1 49 (6-3 +12)=0 & 3 =18 & =6 array

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