In a hilbert space there are infinite general directions \(x,y,z,...\) all orthogonal. However if we have one common concept of time we can create corresponding \(B\) and \(E\) concepts...
\[\textbf{E}={_t\textbf{r}_1}\times{_t\textbf{r}_2} \\ \textbf{B}=\big( ||_1,||_2,...,||_\infty)\]