# Dot products modules

## Overview

After completing this section, students should be able to do the following.

- Compute dot products.
- Use dot products to compute the angle between vectors.
- Find orthogonal projections.
- Find scalar projections.
- Use the dot product in applied settings.
- Find orthogonal decompositions.

# The Dot Product

## Ximera Module

The dot product is an important operation between vectors that captures geometric information.

# Projections and orthogonal decomposition

## Ximera Module

Projections tell us how much of one vector lies in the direction of another and are important in physical applications.