Vector& Space

1. line and planes

1.1. parametric equation

1.1.1. vector and base poin

1.1.2. a line and two points

1.2. relationship between two lines

1.2.1. paralle

1.2.2. intersect

1.2.2.1. perpendicular

1.2.2.1.1. find intersection point

1.2.3. skew

1.3. find plane

1.3.1. base point and normal vector

1.4. point-slope-slope equation

1.4.1. x-slope &y-slope

1.5. find normal vector

1.6. angle between two planes

2. Three-Dimensional Coordinate System

2.1. produce points in space

2.1.1. four ways to describe points

2.1.1.1. words

2.1.1.2. map

2.1.1.3. formula

2.1.1.4. numbers

2.1.2. find the distance between two points

3. Vector description

3.1. diection

3.2. length

3.3. addition

3.4. subtraction

3.5. standard unit vector

4. dot product

4.1. how to calculate by hand

4.2. how to calculate in Maple

4.3. find angle

4.4. real application ( work)

4.5. vector projectile

5. cross product

5.1. how to calculate by hand

5.2. how to calculate in Maple

5.3. find angle

5.4. real application (torque)

5.5. Area of triangle