3
$\begingroup$

I read the definition of wedge product here: http://mathworld.wolfram.com/WedgeProduct.html, but it is still not clear to me how to calculate it. What is the range of wedge product?
For example if I have two vectors in $\mathbb{R}^4$, namely $[1,0,0,0]^{T}$ and $[0,1,0,0]^{T}$, then what is their wedge product?

$\endgroup$
5
$\begingroup$

The wedge product of $e^1$ and $e^2$ is $e^1\wedge e^2$. Cannot be simplified furthermore.

$\endgroup$
3
  • $\begingroup$ Just to make things clear for the OP: the wedge product of two vectors is not a vector, but a "2-vector". $\endgroup$
    – mrf
    Feb 25 '13 at 9:40
  • $\begingroup$ So how can I denote the range of wedge product? $\mathbb{R}^n$^$\mathbb{R}^n$? $\endgroup$
    – Sunny88
    Feb 25 '13 at 11:39
  • 1
    $\begingroup$ Usually it is denoted by $\Lambda^2(\mathbb R^n)$ $\endgroup$ Feb 26 '13 at 14:46

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.