VECTORS AND PARAMETRIC EQUATIONS

Geometric Vectors

Geometric Vectors (a good discussion)
Unit Vectors (a demonstration)

Graphing Vector Calculator
Adding Vectors applet
Subtracting Vectors applet
Applet to show vector relationships
Vectors applet
Vector addition plotter

Algebraic Vectors
Vectors in Three-Dimensional Space

Vectors in Space
Sums of Vectors and Their Components -- interactive
Graphing Vector Calculator
The Cross Product of Two Vectors

Perpendicular Vectors

Commutative Law for Inner Product (Dot Product)
Distributive Law for Inner Product (Dot Product)
Inner Product (Dot Product) demonstration

Applications with Vectors

Why the area of a parallelogram is the determinant of two vectors
Vector Equation of a Line applet
Steamboat Captains Worksheet
Airline Passenger Worksheet
Sail Away Worksheet

Parametric & Vector Equations

Discussion & visualization of parametric functions

Parametric equation plotter

What is a parameter? (Go to Discussion: Using Flash)
Tool for plotting parametric equations
Property of Cycloid with applet

Visualizing cycloids
Visualizing cycloids
Another cycloid applet; also logarithmic spiral
Another place to visualize a cycloid
Working with cycloids
Information about the cycloid
Generating cycloid demonstration
Comparing linear motion to inverted cycloid motion
Cycloid family

Modeling Motion Using Parametric Equations
Transformational Matrices in Three-Dimensional Space
Lines and Planes in Space

Graphing in Three Dimensions
Planes in Three-Space applet (scroll to bottom of page)applet

Centroids

Centroid demo

Summaries and Review Problems and more Review Problems

Review problems on vector mathematics--Go to Calculus Book III, then to Vectors and Analytic Geometry , then choose any topic in that chapter
Review problems

Go to Precalculus Page
Go to Precalculus Lesson Page