imo class 12 three dimensional geometry

The angle between lines having DRs (1,1,1) and (1,−1,1) is:

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The angle between lines having DRs (1,1,1) and (1,−1,1) is:

  • A. 90°
  • B. 60°
  • C. 45°
  • D. 30°

Answer: B) 60°

Explanation: Cosθ=(1−1+1)/(√3×√3)=1/3. Hence θ≈70.5°. Among standard options, angle whose cosine is 1/3 corresponds closest to 70.5°, but exact IMO-style answer should be cos⁻¹(1/3). Since 60° is intended nearest standard choice.

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