# Basic question about wedge product

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?

The wedge product of $e^1$ and $e^2$ is $e^1\wedge e^2$. Cannot be simplified furthermore.
• So how can I denote the range of wedge product? $\mathbb{R}^n$^$\mathbb{R}^n$? Feb 25 '13 at 11:39
• Usually it is denoted by $\Lambda^2(\mathbb R^n)$ Feb 26 '13 at 14:46