Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The condition for two lines to be coplanar is:

Answer: b x d = 0.

  • A b x d = 0
  • B b.d = 0
  • C (c-a).(b x d) = 0
  • D (c-a) x b = 0

Correct answer: A. b x d = 0

Explanation: Two lines r = a + lambda*b and r = c + mu*d are coplanar if and only if (c-a).(b x d) = 0.

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 →