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KCET2020MathematicsThree Dimensional Geometry

If the vectors 2 i +3 j +4 k , 2 i + j - k and i - j +2 k are coplanar, then the value of is

Options

  1. A6
  2. B-5
  3. C-6
  4. D5

Correct answer

A. 6

Step-by-step solution

Given vectors 2 i -3 j +4 k , 2 i + j - k and i - j +2 k are coplanar | array ccc 2 & -3 & 4 2 & 1 & -1 & -1 & 2 array |=0 2(2-1)+3(4+ )+4(-2- )=0 2+12+3 -8-4 =0 6- =0 =6

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