## Appendix J.2 - The Dot Product

Section Details:
• 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