• The Angle Between Planes - Concept

Math›Precalculus›Vectors and Parametric Equations
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
• The Angle Between Planes - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two planes.
• Vector Operations in 3D - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two vectors in 3D, and how to tell whether two vectors are parallel or perpendicular.
• Addition and Scalar Multiplication of Vectors - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to compute the difference of two vectors using scalar multiplication to take the opposite vector.
• Navigation Problems - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How we find the course and groundspeed of an airplane when we are given its velocity and the wind velocity.
• The Geometric Representation of Vectors - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.
• Introduction to the 3D Coordinate System - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How to find the components of a vector from point A to point B in three-dimensions, and how to find its length.
• Navigation Problems - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How we find the course and groundspeed of an airplane when we are given its velocity and the wind velocity.
• Navigation Problems - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How we find the course and groundspeed of a complicated airplane problem when we are given its velocity and the wind velocity at 210 and 270 degrees.