imo class 12 three dimensional geometry

Two lines r = a₁ + λb₁ and r = a₂ + μb₂ are given. If b₁ × b₂ = 0, then the lines are:

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Two lines r = a₁ + λb₁ and r = a₂ + μb₂ are given. If b₁ × b₂ = 0, then the lines are:

  • A. Intersecting
  • B. Perpendicular
  • C. Parallel
  • D. Skew lines

Answer: C) Parallel

Explanation: The cross product of their direction vectors being zero implies the direction vectors are parallel, hence the lines are parallel.

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