Orthogonal Sets of Vectors

adampanagos.org
We've previously defined what it means for two vectors to be orthogonal. In this video we define an orthogonal set of vectors. This is simply a collection of vectors where each vector is orthogonal to every other vector in the set. We provide several examples of sets of vectors and determine if they are orthogonal sets of vectors or not. Since these are vectors in R3, we simply compute the dot product of different pairs of vectors to see if all dot products are zero or non-zero.
The next video in this playlist is:
Representing Vectors with an Orthogonal Basis - • Representing Vectors w...
The previous video in this playlist is:
Orthogonal Complements - • Orthogonal Complements
The full playlist of 26 videos on Orthogonality and Least Squares is here:
• Linear Algebra Example...
Course website:
Course website: www.adampanago...
Join the CZcams channel for membership perks:
/ @adampanagos
If you enjoyed my videos please "Like", "Subscribe", and visit adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

[@Omar-ck8xp]

Wow my professor decided to show us a much more complicated way… will be using this on the exam

[@AdamPanagos]

Glad I could help, thanks for watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam

[@klodianelshani7708]

Just what I needed, thanks! ;)

[@AdamPanagos]

Glad I could help, thanks for watching. Make sure to check out my website adampanagos.org for additional content (435+ videos) you might find helpful. Thanks, Adam