Let $G$ be a graph of order $n$ such that for each vertex $v$ there are two associated vectors, $f_v, g_v\in R^n$, where $uv\in E(G)$ if and only if $\langle f_u - f_v , g_u-g_v \rangle \ge 0$. 

[ISGCI][1] didn't discuss such a class. 

> Has this class of graphs been studied?  What are their properties?  Are they perhaps equivalent to some well-known graph class?

  [1]: http://www.graphclasses.org