Dot products modules
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
The dot product is an important operation between vectors that captures geometric information.
Projections and orthogonal decomposition
Projections tell us how much of one vector lies in the direction of another and are important in physical applications.