imo class 12 three dimensional geometry

The direction cosines of a line parallel to the z-axis are:

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The direction cosines of a line parallel to the z-axis are:

  • A. 1, 0, 0
  • B. 0, 1, 0
  • C. 0, 0, 1
  • D. 1, 1, 1

Answer: C) 0, 0, 1

Explanation: A line parallel to the z-axis makes an angle of 0° with the z-axis, and 90° with both x and y axes. Thus, DCs are cos 90°, cos 90°, cos 0° = 0, 0, 1.

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