Lecture 9: Properties and Uses of the Cross Product (Nicholson, Section 4.3)
Sub Project: Linear Algebra Lecture Videos
Alternate Video Access via MyMedia | Video Duration: 48:23 |
Description:
1:55 --- the properties of the cross product: scalar multiplication, vector addition, anti-symmetry.
5:00 --- find a scalar equation for the plane that contains three given points. (Apologies for the video – the camera person wasn’t following the blackboards as well as usual…)
16:30 --- introduced ||u x v|| = || u || ||v|| sin(theta) where theta is the angle between u and v. Included a discussion of why it’s sin(theta) and not |sin(theta)|.
21:12 --- How the cross product is related to the area of a parallelogram.
25:08 --- how to use a dot product and a cross product to compute the volume of a parallelepiped.
