Appendix J.2 - The Dot Product
- The definition and properties of the dot product
- Perpendicular and orthogonal vectors
- The angle between two vectors
- Vector projections and scalar projections
- The orthogonal complement and using vectors to find the distance between a point and a line
Vectors: MATH 171 Problems 5 & 6
Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product
Dot Product: MATH 171 Problems 7 & 8
Proofs of the Cauchy-Schwarz Inequality and a property of vector projections
Dot Product: MATH 171 Problems 9 & 10
Proving the Triangle Inequality and a property of the midpoints of rectangles