Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

Two lines coplanar in space share a common plane. The normal to this plane is perpendicular to:

Answer: Both line directions.

  • A Both line directions
  • B One line direction only
  • C The line of intersection
  • D All vectors in space

Correct answer: A. Both line directions

Explanation: For two coplanar lines with direction vectors b and d, the plane they lie in has normal b x d. The normal is perpendicular to both b and d.

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

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