Here you will find 60+ Calculus III videos that cover every main concept you will see in a typical Calculus III class. Scroll through the gallery below which is sorted in order of topics as they are typically addressed throughout the semester.
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Topics Covered
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Vector Basics

Component Form

Line Segment to Component Form

Line Segment to Component Form  Example 1

Line Segments vs Component Form  Example 2

Scalar Multiplication

Adding and Subtracting Vectors

Vector Operations  Example 1

Standard Unit Vectors

Magnitude of a Vector

Magnitude of a Vector  Example 1

Unit Vector

How to Normalize a Vector

Using Angles to Write Vectors

Using an Angle to Write a Vector  Example 1

Resultant Force Vectors

3D Vectors

Colinear Points  Example 1

Vector Dot Product

Dot Product  Example 1

Using Dot Product to Find the Angle Between Two Vectors

Finding Angles Using Dot Products  Example 1

Using Dot Products to Find Angles Between Vectors  Example 2

Finding Angles Within a Triangle Using Calculus

Vector Projections

Vector Projections  Example 1

Vector Projection Application  Rolling Cart

Vector Cross Product

Vector Cross Product  Example 1

Vector Cross Product  Extra Theory

Lines in Space

Lines in Space  Example 1

Lines in Space  Example 2

Symmetric Equations  Lines in Space

Line in Space  Parametric to Symmetric, Example 1

Lines in Space  Symmetric to Parametric, Example 2

Are These Lines in Space Parallel?  Example 3

Equations of Planes in Space

Plane in Space  Extra Theory

Standard vs General Form of a Plane

Normal Vector of a Plane

Equation of a Plane  Example 1, easy

Equation of a Plane Given 3 Points  Example 2, medium

Equation of a Plane Given a Line in the Plane  Example 3, medium

Distance Between Point and Plane

Distance Between Point and Plane  Example 1

Distance Between a Point and a Line

Distance Between a Point and a Line  Example 1

Angle Between Two Planes

Angle Between Two Planes  Example 1