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Cross product - MIT Mathematics

Note that the cross product of ~vand w~is the (formal) determinant ^ ^{ ^| k v 1 v 2 v 3 w 1 w 2 w 3 : Let’s now turn to the proof of (3.4). De nition 3.9. Let ~u, ~vand w~be three vectors in R3. The triple scalar product is (~u ~v) w~. The triple scalar product is the signed volume of the parallelepiped formed using the three vectors, ~u ...

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