On Wed, Sep 7, 2011 at 10:57 AM, Dan T. Abell <[email protected]> wrote:
> The cross product is, indeed, inherently three-dimensional.
> The generalisation to other dimensions might best be named
> `wedgeproduct', or simply `wedge'. See any decent text on
> differential forms. (The text by HM Edwards is excellent.)

wedge products are one possible generalization.

For a different generalization which also reduces to cross product for
three dimensions, see
http://www.jsoftware.com/jwiki/Essays/Complete%20Tensor

FYI,

-- 
Raul
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