Cross products in the light of linear transformations  Essence of linear algebra chapter 8 part 2
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by Super User, 3 years ago
*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 columncentric approach.

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