2016-08-31

[public] 1.05M views, 31.9K likes, 145 dislikes audio only

3Blue1Brown

This covers the main geometric intuition behind the 2d and 3d cross products.

Help fund future projects: https://www.patreon.com/3blue1brown

An equally valuable form of support is to simply share some of the videos.

Home page: https://www.3blue1brown.com/

*Note, in all the computations here, I list the coordinates of the vectors as columns of a matrix, but many textbooks put them in the rows of a matrix instead. It makes no difference for the result, since the determinant is unchanged after a transpose, but given how I've framed most of this series I think it is more intuitive to go with a column-centric approach.

Full series: http://3b1b.co/eola

Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.

http://3b1b.co/support

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

Vietnamese: @ngvutuan2811

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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).

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