Linear Algebra 9 | Inner Product and Norm [dark version]

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This is my video series about Linear Algebra. I hope that it will help everyone who wants to learn about it.

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(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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Комментарии
Автор

I was thinking about why the inner product is defined like that and I thought part of it is contains the information u1v1 + u2v2 = 0 means they are perpendicular, so that u1v1 = -u2v2 and u1/u2 = -v2/v1, which basically is saying the slopes of the lines on which each vector sits are additive and multiplicative inverses. Is this a useful observation in terms of intuitive understand?

callmedeno
Автор

Thank you ❤ How the inner product measure angels besides detecting orthogonality ?

mnada