Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

Two planes are parallel if their normal vectors are:

Answer: Proportional (parallel).

  • A Perpendicular to one another in direction
  • B Proportional (parallel)
  • C Equal in magnitude, regardless of direction
  • D Pointing in exactly opposite directions

Correct answer: B. Proportional (parallel)

Explanation: Planes are parallel if their normal vectors are proportional. The planes ax+by+cz=d1 and ax+by+cz=d2 (same coefficients) are parallel.

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

Read the full Three Dimensional Geometry notes →