imo class 12 three dimensional geometry

If the direction ratios of a line are 1, −2, 2, then its direction cosines are:

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If the direction ratios of a line are 1, −2, 2, then its direction cosines are:

  • A. (1/3, −2/3, 2/3)
  • B. (1/2, −1, 1)
  • C. (1/9, −2/9, 2/9)
  • D. (1/√5, −2/√5, 2/√5)

Answer: A) (1/3, −2/3, 2/3)

Explanation: Magnitude = √(1+4+4)=3. Dividing each DR by 3 gives direction cosines (1/3, −2/3, 2/3).

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