Lesson Plan: Parallel, Perpendicular, and Intersecting Lines in Space Mathematics

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the equation of a straight line that is parallel or perpendicular to another one in space and find the intersection point between two lines.

Objectives

Students will be able to

  • find the equation of a straight line in space that is parallel or perpendicular to a given line,
  • identify cases where two straight lines are coincident,
  • identify whether two given lines are parallel, perpendicular, intersecting, coincident, or skew,
  • find the intersection point of two lines.

Prerequisites

Students should already be familiar with

  • finding the equation of a straight line in space in different forms,
  • the dot product and cross product of 3D vectors.

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