Lesson Plan: Scalar Multiplication and Unit Vectors Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to multiply a vector by a scalar and how to find a unit vector in the direction of any given vector by dividing the vector by a scalar.


Students will be able to

  • perform a scalar multiplication on a vector in 2D or 3D (graphically and numerically),
  • find the unit vector associated with a position vector in 2D or 3D,
  • find the unit vector associated with any general vector in 2D or 3D.


Students should already be familiar with

  • finding the magnitude of a vector,
  • vector addition and subtraction.


Students will not cover

  • vectors in 4D or higher.

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