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Dot Product and Norm Examples

http://adampanagos.org This video works several examples of computing norms and dot products. In the previous video, we showed that the norm squared of a sum of vectors can be written as ||v+u||^2 = ||v||^2 + ||u||^2 + 2*dot(u,v). In this video, we work with specific values for u and v and compute the various norms and dot products in this expression to get practice doing these core computations. As a final computation, we also check that the equation from the previous video also holds true as expected. The next video in this playlist is: The Parallelogram Law -    • The Parallelogram Law   The previous video in this playlist is: Definition of Orthogonal Vectors -    • Definition of Orthogonal Vectors   The full playlist of 26 videos on Orthogonality and Least Squares is here:    • Linear Algebra Example Problems: Orthogona...   Course website: Course website: https://www.adampanagos.org/ala Join the YouTube channel for membership perks:    / @adampanagos   If you enjoyed my videos please "Like", "Subscribe", and visit http://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!