Section 1 Goals
- Recall the definition of the dot product of two vectors, both algebraic and geometric.
- Interpret geometrically what the value of the dot product of two vectors \(\vec{v} \cdot \vec{w}\) tells us.
- Calculate algebraically a dot product of two vectors.
- Compute the angle between two vectors using the dot product.
- Recall and use algebraic properties of the dot product.
- Understand and use the dot product in a variety of applications such as finding equations of planes.