deletions | additions       diff --git a/4-Dimensions.tex b/4-Dimensions.tex  index 689ceb4..105e65f 100644  --- a/4-Dimensions.tex  +++ b/4-Dimensions.tex 
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\end{vmatrix}  \end{equation}  Therefore for a set of 3 vectors  \begin{equation} T(r_1,r_2,r_3)=\textbf{i}(\textbf{r}_1\cdot(\textbf{r}_2\times \textbf{r}_3))+... _tr_1=(x_1,y_1,z_1) \\  _xr_1=(t_1,y_1,z_1) \\  _yr_1=(t_1,x_1,z_1) \\  _zr_1=(t_1,x_1,y_1) \\  \end{equation}  we have  \begin{equation}  T(r_1,r_2,r_3)=\\  \textbf{i}({_t\textbf{r}_1}\cdot({_t\textbf{r}_2} \times {_t\textbf{r}_3}))\\-  \textbf{j}({_x\textbf{r}_1}\cdot({_x\textbf{r}_2} \times {_x\textbf{r}_3}))\\+  \textbf{k}({_y\textbf{r}_1}\cdot({_y\textbf{r}_2} \times {_y\textbf{r}_3}))\\-  \textbf{l}({_z\textbf{r}_1}\cdot({_z\textbf{r}_2} \times {_z\textbf{r}_3}))  \end{equation}