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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The equation of a plane passing through three non-collinear points is found by:

Answer: Using the dot product of edges.

  • A Averaging their coordinates
  • B Finding the normal using cross product of two edge vectors
  • C Using the dot product of edges
  • D Summing position vectors

Correct answer: C. Using the dot product of edges

Explanation: Find two edge vectors from one vertex. Their cross product gives the normal. Then use point-normal form for the plane equation.

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 →