Khan Academy
Khan Academy: Linear Algebra: Introduction to Projections
Video reviews how to use vectors to define a line. Gives an intuitive sense of what a projection is, then explains step-by-step where the formula for projections comes from. Shows an example of calculating a vector projection. [14:37]
Khan Academy
Khan Academy: Linear Algebra: Coordinates With Respect to a Basis
A video lesson showing that vectors in space can be defined by coordinates with respect to a basis. A concrete example is given for a vector in R2. Shows how the vector is defined in traditional Cartesian coordinates and then how it can...
Khan Academy
Khan Academy: Calculus: Functions for Parametrization With Two Parameters
Video continuing to show how to parameterize a torus using two parameters by writing the position vector valued functions. [16:32]
Khan Academy
Khan Academy: The Coordinate Plane: Descartes and Cartesian Coordinates
Bridging algebra and geometry. This video explains the contributions of Rene Decartes to Algebra and Geometry.
Khan Academy
Khan Academy: Function for a Parametrization of Two Parameters
This video shows how to determine a position vector-valued function for a parametrization of two parameters.
Khan Academy
Khan Academy: Polar Coordinates: Polar Coordinates 1
A video explaining the relationship between rectangular (Cartesian) coordinates and polar coordinates.
Khan Academy
Khan Academy: Linear Transformation Examples: Unit Vectors
What unit vectors are and how to construct them.
PatrickJMT
Patrick Jmt: An Introduction to Vectors Part 1
Tutorial provides an introduction to vectors including magnitude, direction, length, and component form. [4:45]
Khan Academy
Khan Academy: Components of Vectors
Explains how to find the x- and y-components of a vector given its graph. [3:17]
PatrickJMT
Patrick Jmt: The Cartesian Coordinate System
In this video, the coordinates of a point and quadrants are discussed. [5:53]
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: Finding the Initial Point of a Vector: Lesson 4
This lesson shows how to find the initial point of a vector when the end point is known. It is 4 of 7 in the series titled "Finding the Initial Point of a Vector." [2:29]
Sophia Learning
Sophia: Finding the Initial Point of a Vector: Lesson 5
This lesson shows how to find the initial point of a vector when the end point is known. It is 5 of 7 in the series titled "Finding the Initial Point of a Vector." [1:42]