The plane $$\(\Pi_{1}\)$$ has vector equation $$\[ \mathbf{r}=\left(\begin{array}{l} 5 \\ 3 \\ 0 \end{array}\right)+s\left(\begin{array}{l} 3 \\ 0 \\ 1 \end{array}\right)+t\left(\begin{array}{r} 1 \\ -2 \\ 2 \end{array}\right) \]$$ where $$\(s\)$$ and $$\(t\)$$ are scalar parameters. Determine a Cartesian equation for $$\(\Pi_{1}\)$$ (3)

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