title: Efficient Calculation of an N-Dimensional Cross Product?
body: <p>As per the title, is the best way to calculate the n-dimensional cross product just using the determinant definition and using the LU Decomposition method of doing as such or could you guys suggest a better one?</p>
  
  <p>Thanks</p>
  
  <p>Edit: for clarity I mean <a href="http://en.wikipedia.org/wiki/Cross_product" rel="nofollow">http://en.wikipedia.org/wiki/Cross_product</a> and not the Cartesian Product</p>
  
  <p>Edit: It also seems that using the Leibniz Formula might help - though I don't know how that compares to LU Decomp. at the moment. </p>