3. Vectors - Contents

1. Definition, Magnitude and Direction

     1   2   3   4
   1. Vectors as Arrows
   2. The Vector Between Two Points - Displacement
   3. Magnitude
   4. Direction

2. Free vs. Located vs. Field

     1   2   3
   1. Free vs. Located
   2. Located vs. Field
   3. Plots of Vector Fields

3. Vector Addition

     1   2   3
   1. Algebraic Definition
   2. Geometric Construction
   3. Properties
      1. Triangle Inequality - Proof

4. Scalar Multiplication

     1   2   3
   1. Algebraic Definition
   2. Geometric Construction
   3. Properties

5. Linear Combinations and \(ijk\) Notation

     1   2
   1. Linear Combinations
   2. \(ijk\) Notation

6. Applications

     1   2
   1. Balancing Forces
   2. Orienteering

7. Exercises

     1
   1. Exercises