A Note before we start
Vectors in Three Dimensions
Three-dimensional Coordinate System
Example 1
Example 1 Video
Basic Calculations
Example 2
Example 2 Video
Example 3
Example 3 Video
Scalar (Dot) Product of Vectors
Example 4
Example 4 Video
Angle Between Two Vectors
Example 5
Example 5 Video
Parallel & Perpendicular Vectors
Exercise 5.1
Exercise 5.1 Recorded Solutions
Geometric Proofs in the Plane
Example 1
Example 1 Video
Geometric Proofs in Three Dimensions
Example 2
Example 2 Video
Example 3
Example 3 Video
Example 4
Example 4 Video
Exercise 5.2
Exercise 5.2 Recorded Solutions
Vector Equation of a Line
Sketching a Vector Equation
Example 1
Example 1 Video
Sketching an Interval
Example 2
Example 2 Video
Finding a Vector Equation of a Line Through Two Points
Example 3
Example 3 Video
Parallel and Perpendicular Lines
Example 4
Example 4 Video
Example 5
Example 5 Video
Exercise 5.3
Exercise 5.3 Recorded Solutions
Does a Point lie on a Line?
Example 1
Example 1 Video
Point of Intersection
Example 2
Example 2 Video
Example 3
Example 3 Video
Converting between Cartesian and Vector Equations
Example 4
Example 4 Video
Exercise 5.4
Exercise 5.4 Recorded Solutions
Spheres
Example 1
Example 1 Video
Example 2
Example 2 Video
Curves in Two Dimensions
Transformations
Example 3
Example 3 Video
Restrictions
Example 4
Example 4 Video
Spirals
Example 5
Example 5 Video
Exercise 5.5
Exercise 5.5 Recorded Solutions
Harder Two Dimensional Curves
Example 1
Example 1 Video
Curves in Three Dimensions
Example 2
Example 2 Video
Helices
Example 3
Example 3 Video
Helices & Unusual Curves
Example 4
Example 4 Video
Example 5
Example 5 Video
Exercise 5.6
Exercise 5.6 Recorded Solutions
Steve Howard