Lesson Plan: Magnitude of a Vector in 3D Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the magnitude of a position vector in space.


Students will be able to

  • understand that the magnitude of a 3D vector represents the length of the vector,
  • find the magnitude of a 3D vector when given its components,
  • find an unknown component in a 3D vector when given the other components and the magnitude of the vector.


Students should already be familiar with

  • the magnitude of a vector in 2D,
  • addition, subtraction, and scalar multiplication of 3D vectors,
  • the properties of vector magnitudes under addition and subtraction.


Students will not cover

  • vector multiplication.

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