Khan Academy
Khan Academy: 3 D Vector Field Example
See an example of how you can start to understand how the formula for a three-dimensional vector field relates to the way it looks.
Khan Academy
Khan Academy: 2 D Curl Formula
Here we build up to the formula for computing the two-dimensional curl of a vector field, reasoning through what partial derivative information corresponds to fluid rotation.
Khan Academy
Khan Academy: Adding Vectors Algebraically & Graphically
To add vectors, we add the corresponding components from each vector. See this concrete example. There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.
Khan Academy
Khan Academy: Adding & Subtracting Vectors
Sal shows how to add vectors by adding their components, then explains the intuition behind adding vectors using a graph.
Khan Academy
Khan Academy: Adding Vectors in Magnitude & Direction Form (1 of 2)
Watch Sal add two vectors given in magnitude and direction form by breaking them down into components first.
Khan Academy
Khan Academy: Calculating Dot and Cross Products With Unit Vector Notation
Calculating the dot and cross products when vectors are presented in their x, y, and z (or i, j, and k) components. [9:46]
Sophia Learning
Sophia: Vector Notation: Lesson 4
In this lesson, students see how to indicate a vector through proper notation. It is 4 of 7 in the series titled "Vector Notation."