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Advance your calculus knowledge with our free video tutorials in Calculus III. From multivariable functions to vector calculus, we cover everything you need to understand the higher dimensions of calculus. Learn topics like gradient, divergence, curl, and multiple integrals, all through clear explanations and practice problems.
Explore the complexities of 3D calculus and develop the skills needed to solve real-world applications in physics, engineering, and more. Dive into our library today and strengthen your understanding of these crucial calculus concepts.
Follow along with the free Calculus III textbook that goes along with the videos.
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Vector Basics
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Component Form
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Line Segment to Component Form
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Line Segment to Component Form - Example 1
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Line Segments vs Component Form - Example 2
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Scalar Multiplication
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Adding and Subtracting Vectors
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Vector Operations - Example 1
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Standard Unit Vectors
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Magnitude of a Vector
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Magnitude of a Vector - Example 1
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Unit Vector
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How to Normalize a Vector
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Using Angles to Write Vectors
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Using an Angle to Write a Vector - Example 1
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Resultant Force Vectors
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3D Vectors
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Colinear Points - Example 1
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Vector Dot Product
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Dot Product - Example 1
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Using Dot Product to Find the Angle Between Two Vectors
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Finding Angles Using Dot Products - Example 1
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Using Dot Products to Find Angles Between Vectors - Example 2
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Finding Angles Within a Triangle Using Calculus
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Vector Projections
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Vector Projections - Example 1
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Vector Projection Application - Rolling Cart
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Vector Cross Product
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Vector Cross Product - Example 1
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Vector Cross Product - Extra Theory
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Lines in Space
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Lines in Space - Example 1
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Lines in Space - Example 2
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Symmetric Equations - Lines in Space
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Line in Space - Parametric to Symmetric, Example 1
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Lines in Space - Symmetric to Parametric, Example 2
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Are These Lines in Space Parallel? - Example 3
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Equations of Planes in Space
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Plane in Space - Extra Theory
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Standard vs General Form of a Plane
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Normal Vector of a Plane
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Equation of a Plane - Example 1, easy
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Equation of a Plane Given 3 Points - Example 2, medium
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Equation of a Plane Given a Line in the Plane - Example 3, medium
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Distance Between Point and Plane
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Distance Between Point and Plane - Example 1
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Distance Between a Point and a Line
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Distance Between a Point and a Line - Example 1
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Angle Between Two Planes
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Angle Between Two Planes - Example 1