Table of Contents

1. Introduction to Vectors
   1. Which is a Vector?
   2. Vector Concepts
   3. MNOP Rectangle
   4. Concept: The Unit Vector
   5. Comparing Velocity and Distance
2. Algebraic Vectors and Applications
   1. Algebraic Vectors
   2. Vector Manipulative
   3. Scalar Multiplication
   4. Unit Vectors: Hat i
   5. Unit Vectors: Hat j
   6. The Projection of u onto v
   7. Cross Product
   8. Area of a Parallelogram and Cross Product
   9. Area of a Triangle Sample
   10. 3-d Co-ordinates
   11. Coordinates01
   12. Coordinates02
   13. Coordinates03
   14. Coordinates04
   15. Coordinates05
   16. How Long is a 3-D Hypotenuse?
   17. Direction Angles
   18. Unit Vectors in 3D
   19. Volume of a Parallelopiped
3. Equations and Intersections of Lines in R2 and R3
   1. The Vector Equation of a Line I
   2. Vector Equation of a Line with Traces
   3. Vector and Parametric Equations of the Plane
   4. Relationship Between Scalar Form and a Normal Vector
   5. Equations of Lines in R3
   6. Lines in Three Space
   7. CEMC Example 1
   8. Example 2: Finding the DIstance from a Line to a Point
4. Equations and Intersections of Planes
   1. Parameteric Equations of the Plane
   2. Vector and Parametric Equations of the Plane
   3. Normal Vector and Plane
   4. Skew Lines to Parallel Planes
   5. Normal, a Plane, and a General Vector
   6. Distance Between Skew Lines
   7. Finding the Distance: Point to a Plane
   8. How Many Solutions I
   9. How Many Solutions II
   10. How Many Solutions III
   11. Planes, Normals and Intersections
   12. Planes and Intersections I
   13. Planes and Intersections II
   14. One Solution to Rule Them All
   15. No Solutions
   16. Linear Solution
   17. Pup Tent Solution
   18. Planes and Normals
   19. Two Solutions