Outline
CEMC Geogebra Supplement
This book contains supplementary materials to illustrate the content provided by the CEMC course Calculus and Vectors.
Table of Contents
Introduction to Vectors
Algebraic Vectors and Applications
- Algebraic Vectors
- Vector Manipulative
- Scalar Multiplication
- Unit Vectors: Hat i
- Unit Vectors: Hat j
- The Projection of u onto v
- Cross Product
- Area of a Parallelogram and Cross Product
- Area of a Triangle Sample
- 3-d Co-ordinates
- Coordinates01
- Coordinates02
- Coordinates03
- Coordinates04
- Coordinates05
- How Long is a 3-D Hypotenuse?
- Direction Angles
- Unit Vectors in 3D
- Volume of a Parallelopiped
Equations and Intersections of Lines in R2 and R3
Equations and Intersections of Planes
- Parameteric Equations of the Plane
- Vector and Parametric Equations of the Plane
- Normal Vector and Plane
- Skew Lines to Parallel Planes
- Normal, a Plane, and a General Vector
- Distance Between Skew Lines
- Finding the Distance: Point to a Plane
- How Many Solutions I
- How Many Solutions II
- How Many Solutions III
- Planes, Normals and Intersections
- Planes and Intersections I
- Planes and Intersections II
- One Solution to Rule Them All
- No Solutions
- Linear Solution
- Pup Tent Solution
- Planes and Normals
- Two Solutions