Vectors and Parametric Equations
Vectors and parametric equations covers the geometric and algebraic representations of vectors, operations, and applications to parametric equations and 3D coordinate systems Topics include:
- The Geometric Representation of Vectors
- Adding Vectors
- The Resultant of Two Forces
- Components of a Force
- Navigation Problems
- Algebraic Representation of Vectors
- Addition and Scalar Multiplication of Vectors
- Unit Vectors
- The Vector Equation of a Line
- Motion Along a Line
- Parametric Equations and Motion
- Parametrizing a Line Segment
- Parametrizing a Circle
- The Dot Product of Vectors
- The Angle Between Vectors
- Introduction to the 3D Coordinate System
- Vector Operations in 3D
- The Midpoint and Distance Formulas in 3D
- Lines in 3D
- Perpendicular, Parallel and Skew Lines in Space
- Introduction to Planes
- Vectors and Planes
- The Angle Between Planes