Normal Vectors and Affine Sets
Channel: Andrew Misseldine
Date: 2020-10-13

In this video, we review the notion of affine sets, constructed via the Top-Down and Bottom-Up approaches, and introduce the notion of a normal vector. We compare how the spanning vectors in the Bottom-Up approach are essentially the duals to the normal vectors in the Top-Down approach, that is, they are orthogonal to each other. We explain how we can use the cross product in R^3 to construct normal vectors. 

Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:
https://drive.google.com/open?id=1KQ7dbLXI4x39VwZovTL0DKRsZwt_i3Vt&authuser=andrewmisseldine@suu.edu&usp=drive_fs

This lecture covers section 5.4 - Cross Products from the book. This is part 4 of 4 videos from this section.