This covers the main geometric intuition behind the 2d and 3d cross products.
*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.
Watch the full "Essence of linear algebra" playlist here: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
Tagged under: mathematics,math,cross products,brown,3b1b,linear algebra,blue
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