deletions | additions       diff --git a/4-Dimensions.tex b/4-Dimensions.tex  index 2981ba3..84fff4e 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 of volumes made by each set of 3 axes. The Quaternanry will be \begin{equation}  \begin{vmatrix}   t_1 & x_1 & y_1 & z_1 \\  t_2 & x_2 & y_2 & z_2 \\  t_3 & x_3 & y_3 & z_3 \\  t_4 & x_4 & y_4 & z_4   \end{vmatrix}  =t_1V^{234}_{xyz}-x_1V^{234}_{tyz}+y_1V^{234}_{txz}-z_1V^{234}_{txy}  \end{equation}