• 1.1 Vectors and scalars

  • 1.1.1 Vectors, lines and planes – topics
  • 1.1.2 Vector and Scalars
  • 1.1.3 Computations with vectors
  • 1.1.4 Vectors with n components

• 1.2 The inner product

  • 1.2.1 The inner product definition
  • 1.2.2 The inner product and length
  • 1.2.3 Unit Vectors
  • 1.2.4 The inner product and angles

• 1.3 Cauchy-Schwarz and the triangle inequality

  • 1.3.1 Cauchy-Schwarz inequality
  • 1.3.2 The triangle inequality

• 1.4 The cross product

  • 1.4.1 Cross product introduction
  • 1.4.2 Properties of the cross product
  • 1.4.3 The cross product examples
  • 1.4.4 Cross products in physics

• 1.5 Parametric and normal equations

  • 1.5.1 What is a parametric equation?
  • 1.5.2 Equations of a line
  • 1.5.3 Equations of a plane
  • 1.5.4 Normal equation
  • 1.5.5 Distance between a point and a plane
  • Pen and Paper Exercises – Module 1. Vectors, lines and planes