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
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