TYPO: The formula at 3:55 for algebraically computing the determinant has a typo. It is a NEGATIVE in front of the j hat term, not a positive.
The cross product is a way to multiply two (three dimensional) vectors together and get a third vector as a result. However, in mathematics, we would only do this if it was useful. So in this video we begin with the purpose and work backwards to the computation. I describe the two geometric goals of the cross product:
1) Finding orthogonal vectors
2) Finding the area of a parallelogram
From these goals we define a geometric cross product. I also state how to compute it algebraically at the end.
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YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
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►Full Multivariable Calculus Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
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Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
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►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
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► Want to learn math effectively? Check out my "Learning Math" Series:
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►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
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►Check out my 2nd Channel for lower production quality "live" math videos: https://www.youtube.com/channel/UCFNL8G1CZ4dH0p-Jf7UXqdQ
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This video was created by Dr. Trefor Bazett
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