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  • https://math.libretexts.org/Bookshelves/Calculus/Calculus_(Guichard)/12%3A_Three_Dimensions/12.04%3A_The_Cross_Product
    Another useful operation: Given two vectors, find a third vector perpendicular to the first two. There are of course an infinite number of such vectors of different lengths. Nevertheless, let us find ...Another useful operation: Given two vectors, find a third vector perpendicular to the first two. There are of course an infinite number of such vectors of different lengths. Nevertheless, let us find one. This particular answer to the problem turns out to have some nice properties, and it is dignified with a name: the cross product.

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