Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    robphy

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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

    User Avatar
    Science Advisor
    Homework Helper

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Wedge Product/Cross Product?
  1. Cross product (Replies: 3)

  2. The Cross Product (Replies: 4)

Loading...