Three Dimensional Geometry · Class 12 · CBSE · Science Mathematics

The direction cosines of a line whose direction ratios are 2, -1 and 2 are:

Practice question from Three Dimensional Geometry (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-95E828

The direction cosines of a line whose direction ratios are 2, -1 and 2 are:

  1. A.(2/3, -1/3, 2/3)Correct answer
  2. B.(2, -1, 2)
  3. C.(1/2, -1/2, 1/2)
  4. D.(2/√5, -1/√5, 2/√5)

Solution

The magnitude of the direction-ratio vector is 22+(−1)2+22=3\sqrt{2^2+(-1)^2+2^2}=3. Hence, the direction cosines are (2/3,−1/3,2/3)(2/3,-1/3,2/3).

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