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Wedge Product/Cross Product?

  1. Apr 11, 2006 #1
    What's the difference between a wedge product and a cross product?
  2. jcsd
  3. Apr 11, 2006 #2


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    Although they are both antisymmetric in their arguments,
    the wedge product of two vectors is a bivector (a 2-index tensor);
    the cross product of two vectors is another [psuedo] vector.
  4. Apr 11, 2006 #3

    matt grime

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    Pretty much it's just down to how you view these things.

    x/\y is always defined for all x,y in any vector space, they just live in the space /\^2(V). It so happens that in the case when dim(V)=3, then /\^2(V) is (non-canonically) isomorphic to V, so people identify them, and call the resulting thing the cross product.
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