#### Course Materials

Lessons

#### Vectors in Space

- Topic - Magnitudes of 3-Dimensional Vectors (Premium Feature)
- Topic - Find Vectors from Position Vectors (Premium Feature)
- Topic - Magnitudes of 3-Dimensional Vectors from Position Vectors (Premium Feature)
- Topic - Equality of 3-Dimensional vectors (Premium Feature)
- Topic - Finding Pronumerals for Unit Vectors (Premium Feature)

#### Operations with Vectors in Space

- Topic - Finding a 3-Dimensional Vector from Vector Equations (Premium Feature)
- Topic - Finding a 3-Dimensional Vector from Vector Equations using Unit Vectors (Premium Feature)
- Topic - Vector Additions using Unit Vectors (Premium Feature)
- Topic - Vectors Constructing Parallelograms (Premium Feature)

#### Scalar Product of Two Vectors

- Topic - Calculating Scalar Products (Premium Feature)
- Topic - Find the angle between Two 2-Dimensional Vectors (Premium Feature)
- Topic - Find the angle between Two 3-Dimensional Vectors (Premium Feature)
- Topic - Two 2-Dimensional Vectors are Perpendicular (Premium Feature)
- Topic - Two 3-Dimensional Vectors are Perpendicular (Premium Feature)

#### Lines in 2D

- Topic - Finding Vector Equations with Direction Vectors and Fixed Points (Premium Feature)
- Topic - Finding Vector Equations with Direction Vectors and Fixed Points using Unit Vectors (Premium Feature)
- Topic - Finding Vector Equations with Direction Vectors and Intercepts (Premium Feature)
- Topic - Finding Vector Equations Passing Two Points (Premium Feature)
- Topic - Finding Parametric Equations of Vectors (Premium Feature)
- Topic - Finding Parametric Equations of Vectors Passing Through two Points (Premium Feature)
- Topic - Finding Cartesian Equations using Direction Vectors and Points (Premium Feature)

#### Lines in 3D

- Topic - Find 3-Dimensional Vector Equations using Direction Vectors (Premium Feature)
- Topic - Find 3-Dimensional Vector Equations Passing Through Two Points (Premium Feature)
- Topic - Find 3-Dimensional Vector Parametric Equations (Premium Feature)
- Topic - Finding Intersections with 3-Dimensional Space and Parametric Equations (Premium Feature)

#### Angle between Two Lines

- Topic - Match Vector Equations and Corresponding Parametric Equations (Premium Feature)
- Topic - Angles between Two Lines using Vectors (Premium Feature)
- Topic - Angles between Two Lines using Vectors by Zero Scalar Product (Premium Feature)
- Topic - Angles between Two Lines using Vectors by Scalar Product being One (Premium Feature)

#### Applications of a Line in a Plane

- Topic - Finding Initial Positions from Vector Equations (Premium Feature)
- Topic - Finding Speed of a Particle using its Vector Equation (Premium Feature)
- Topic - Finding New Vector Equations for New Velocities (Premium Feature)
- Topic - Finding the Position of Vectors given Certain Times (Premium Feature)
- Topic - Finding 2-Dimensional Velocity Vectors given New Speeds (Premium Feature)
- Topic - Finding the Time for Vector Equations (Premium Feature)
- Topic - Finding the Speed of Particles described as 2-Dimensional Vectors (Premium Feature)
- Topic - Finding 3-Dimensional Velocity Vectors given New Speeds (Premium Feature)
- Topic - Shortest Distance using Vectors (Premium Feature)

#### Relationship between Lines

- Topic - Identifying Parallel or Not parallel for 2-Dimensional Lines (Premium Feature)
- Topic - Identifying Parallel or Not parallel for 3-Dimensional Lines (Premium Feature)
- Topic - Angles between Two Lines in 3-Dimensional Space (Premium Feature)
- Topic - Find Coordinates of Intersection of Lines in 3-Dimensional Space (Premium Feature)
- Topic - identify Positioning Two Lines in 3-Dimensional Space (Premium Feature)