Dot products and duality | Chapter 9, Essence of linear algebra

Why the formula for dot products matches their geometric intuition. Help fund future projects: An equally valuable form of support is to simply share some of the videos. Home page: Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what’s going on with the dot product, and the connection between its numerical computation and its geometric interpretation. Full series: Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Vietnamese: @ngvutuan2811 ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouT