#dotproduct — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #dotproduct, aggregated by home.social.
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"The nonzero vectors 𝐮 and 𝐯 are orthogonal vectors if and only if 𝐮·𝐯=0."
WTF specify that the vectors must be "nonzero?" Every other definition of the orthogonality test do not specify that the vectors must be nonzero. Actually, a vector of length zero is perpendicular to every other vector.
Is there some subtlety I'm missing here???????????
(Note that this requirement that the vectors be nonzero carries into the answers provided by this textbook. :headache: )
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🚀 Wow, a "dot product" as a life decision tool! 🤔 Because nothing screams "choose a city" better than algebraic functions. 😂 Let's hope your love life isn't a matrix multiplication.
https://www.ducktyped.org/p/linear-algebra-chapter-2-the-dot #dotproduct #citydecision #lifeadvice #algebra #humor #HackerNews #ngated -
🚀 Wow, a "dot product" as a life decision tool! 🤔 Because nothing screams "choose a city" better than algebraic functions. 😂 Let's hope your love life isn't a matrix multiplication.
https://www.ducktyped.org/p/linear-algebra-chapter-2-the-dot #dotproduct #citydecision #lifeadvice #algebra #humor #HackerNews #ngated -
An Illustrated Introduction to Linear Algebra, Chapter 2: The Dot Product
https://www.ducktyped.org/p/linear-algebra-chapter-2-the-dot
#HackerNews #LinearAlgebra #DotProduct #IllustratedIntroduction #MathEducation #DataScience
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An Illustrated Introduction to Linear Algebra, Chapter 2: The Dot Product
https://www.ducktyped.org/p/linear-algebra-chapter-2-the-dot
#HackerNews #LinearAlgebra #DotProduct #IllustratedIntroduction #MathEducation #DataScience
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"You can use the metric to raise an index" is what I found in one or the other physics text book. Surely I missed some context each time, so I couldn't help to swear: 🤢 , I like the indexes where they are, what is the point of raising or lowering them.
I found the answer in Gravitation, by Misner, Thorne, Wheeler but felt the need to write it down in a way I understand it best: https://miamao.de/blog/2024-06/04.Raising_or_Lowering_an_Index.html
#physics #tensor #metric #vectorspace #dotproduct #raisinganindex #mtw