5. Vectors - Contents

1. Definition, Magnitude and Direction

     1   2   3   4
   1. Vectors as Arrows
   2. Displacements
   3. Magnitude
   4. Direction

2. Vector Addition

     1   2   3   4
   1. Algebraic Definition
   2. Geometric Construction
   3. Properties
      1. Triangle Inequality - Proof
   4. Application - Balancing Forces

3. Scalar Multiplication

     1   2   3   4   5
   1. Algebraic Definition
   2. Geometric Construction
   3. Properties
   4. Linear Combinations
   5. \(\hat\imath\hat\jmath\) Notation

4. Dot Product

     1   2   3   4   5   6   7
   1. Algebraic Definition
   2. Properties
   3. Geometric Formula
   4. Angles
   5. Vector Projections
   6. Scalar Projections
   7. Application - Work

5. Parametric Curves

     1   2   3
   1. Parametric Lines
   2. Intersections of Lines
   3. Parametric Curves

6. Exercises

     1
   1. Exercises