Lesson Plan: The Perpendicular Distance between Points and Planes | Nagwa Lesson Plan: The Perpendicular Distance between Points and Planes | Nagwa

Lesson Plan: The Perpendicular Distance between Points and Planes Mathematics • Third Year of Secondary School

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This lesson plan includes the objectives and prerequisites of the lesson teaching students how to calculate the perpendicular distance between a plane and a point, between a plane and a straight line parallel to it, and between two parallel planes using a formula.

Objectives

Students will be able to

  • calculate the perpendicular distance between a point and a plane,
  • calculate the perpendicular distance between a plane and a straight line parallel to it,
  • calculate the perpendicular distance between two parallel planes (application on the first objective).

Prerequisites

Students should already be familiar with

  • calculating the dot product of two 3D vectors,
  • writing the equation of a plane in different forms,
  • finding the normal vector to a plane from its equation in whatever form.

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