Finding Orthogonal Vectors in R2

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http://adampanagos.org • We derive a simple equation and provide a few examples of how orthogonal vectors can be easily computed in R2. Given a vector v = [v1; v2] in R2, the vector x can be constructed by simply interchanging the coordinates of v, and then negating one of the values. So, x is orthogonal to v for x = [v2; -v1] or x = [-v2; v1]. This establishes that there are always two vectors orthogonal to any given vector in R2. • The next video in this playlist is: • Finding Orthogonal Vectors in R3 - • Finding Orthogonal Vectors in R3 • The previous video in this playlist is: • The Parallelogram Law - • The Parallelogram Law • The full playlist of 26 videos on Orthogonality and Least Squares is here: • • Linear Algebra Example Problems: Orth... • 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!

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