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MHT CET2019Morning ShiftMathematicsThree Dimensional GeometryActual

Which of the following can not be the direction cosines of a line?

Options

  1. A1 5 , - 1 2 , 3 10
  2. B1 3 , - 1 3 , 1 3
  3. C1 2 , - 1 2 , - 1 2
  4. D1 2 , - 1 2 , 0

Correct answer

C. 1 2 , - 1 2 , - 1 2

Step-by-step solution

We know that, l 2 + m 2 + n 2 = 1 Since, 1 2 2 + - 1 2 2 + - 1 2 2 = 1 2 + 1 2 + 1 2 = 3 2 ≠ 1

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