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MHT CET202210 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The magnitude of the projection of the vector 2 i + j + k , on the vector perpendicular to the plane containing the vectors i + j + k and i +2 j +3 k , is

Options

  1. A5 6 units
  2. B1 6 units
  3. C6 units
  4. D2 6 units

Correct answer

B. 1 6 units

Step-by-step solution

The perpendicular vector is | array lll i & j & k 1 & 1 & 1 1 & 2 & 3 array |= i -2 j + k the required projection = (2 i + j + k ) ( i -2 j + k ) | i -2 j + k | = 2-2+1 1^2+(-2)^2+1^2 = 1 6

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