deletions | additions       diff --git a/4-Dimensions.tex b/4-Dimensions.tex  index 43a6991..e6541e6 100644  --- a/4-Dimensions.tex  +++ b/4-Dimensions.tex 
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\textbf{l}({_z\textbf{r}_1}\cdot({_z\textbf{r}_2} \times {_z\textbf{r}_3}))  \end{equation}  Which results in a volume, the difference four-vector  of the  volumes made by each set of 3 axes. various axes with some sign.  The Quaternary will be \begin{equation}