Blackbody Radiation Question 5: Comparing Planck's Law for Different Stars https://youtu.be/gUavPWMSaaI

In this video I compare the blackbody radiation of different stars by graphing out Planck's Law for the Sun, Sirius, Procyon, and Betelgeuse stars.

Equations of the Six Types of Quadric Surfaces https://youtu.be/0pCWT-FbmuY

In this video I review the standard form equations of the 6 types of quadric 3D surfaces: ellipsoid, cone, elliptic paraboloid, hyperboloid of one sheet, hyperbolic paraboloid, and hyperboloid of two sheets.

Traces of a Surface: Review and Example on an Ellipsoid whose Traces are Ellipses https://youtu.be/w72pnqHHbAA

In this video I review traces of a surface, which are curves of intersection of a surface with planes parallel to the coordinate (x, y, z) planes. 

Distance Between Intersecting Lines, Parallel Lines, and Skew Lines https://youtu.be/hWqpXXNZK0U

In this video I discuss how to determine the distance between two lines for each of the 3 possible cases: intersecting lines, parallel lines, and skew lines (which don't intersect and are not parallel).

Distance from a Point to a Plane using the Dot Product https://youtu.be/-V6F0OpS5M8

In this video I go over a quick recap on the formula for determining the shortest distance between a point and a plane in 3D. The formula is just the projection of any position vector from the plane to the point onto the normal vector of the plane, and involves their dot product. 

Distance from a Point to a Line using the Cross Product https://youtu.be/-ie6FTLTH0E

In this video I go over a method for determining the shortest distance between a point and a line in 3D by using the length of the cross product and the area of a parallelogram.