Consider the rectangular prism ABCDEFGH below, for which $\mathrm { AB } = 6 , \mathrm { AD } = 4$ and $\mathrm { AE } = 2$.\\
I, J and K are points such that $\overrightarrow { A I } = \frac { 1 } { 6 } \overrightarrow { A B } , \overrightarrow { A J } = \frac { 1 } { 4 } \overrightarrow { A D } , \overrightarrow { A K } = \frac { 1 } { 2 } \overrightarrow { A E }$.\\
We use the orthonormal coordinate system ( $A$; $\overrightarrow { A I } , \overrightarrow { A J } , \overrightarrow { A K }$ ).

\begin{enumerate}
  \item Verify that the vector $\vec { n }$ with coordinates $\left( \begin{array} { c } 2 \\ 2 \\ - 9 \end{array} \right)$ is normal to the plane (IJG).
  \item Determine an equation of the plane (IJG).
  \item Determine the coordinates of the intersection point L of the plane (IJG) and the line (BF).
  \item Draw the cross-section of the rectangular prism ABCDEFGH by the plane (IJG). This drawing should be done on the figure provided in the appendix to be returned with your work). No justification is required.
\end{enumerate}