# Lesson Plan: Angle between Two Vectors in Space Mathematics • 12th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the angle between two vectors in space using their dot product.

#### Objectives

Students will be able to

- find the angle between two vectors by finding their dot product and recognize which angle has been calculated,
- find the angle between two vectors given graphically by finding their dot product,
- find the angle between two vectors by applying properties of vectors before finding their dot product.

#### Prerequisites

Students should already be familiar with

- vectors in three dimensions,
- properties of vectors including how to find the modulus of a vector,
- dot product between vectors in space,
- vector operations in space.

#### Exclusions

Students will not cover

- the vector cross product.