Khan Academy: Line Integrals in Vector Fields: Line Integrals and Vector Fields

A video to show you understand how to parametrize a reverse path for the same curve.

Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...

Video lesson showing how to visualize, set up, and solve a line integral.

Line integral over a closed path (part 1). This video shows how to visualize and use line integrals to find the surface area along a closed curved. Problem is solved by using three different line integrals.

An example of finding the surface area along a closed curve using line integrals.

Video finding the normal vector to a plane using its equation by first visualizing the vector and the plane and then solving for it. Shows how to find the equation of a plane given the position vectors of two points on the plane and...

Video starts with reviewing matrix notation. Defines multiplying a matrix by a vector and shows examples. Shows how the matrix-vector products can be interpreted as the dot product of column vectors with a matrix or as a weighted linear...

Video first introduces what a unit vector is. Shows how to construct a unit vector using scalars. Shows notation for unit vectors. [6:59]

Video first shows that matrix vector multiplication is another way to represent a transformation and then shows that matrix vector products are linear transformations. Relates vector transformations to video game graphics. This video...

Video first shows that matrix vector multiplication is another way to represent a transformation and then shows that matrix vector products are linear transformations. Relates vector transformations to video game graphics. This video...