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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