The figure below represents a cube ABCDEFGH. The three points I, J, K are defined by the following conditions:
I is the midpoint of segment [AD];
J is such that $\overrightarrow{\mathrm{AJ}} = \frac{3}{4}\overrightarrow{\mathrm{AE}}$;
K is the midpoint of segment [FG].
On the figure provided in the appendix, construct without justification the point of intersection P of the plane (IJK) and the line (EH). Leave the construction lines on the figure.
Deduce from this, by justifying, the intersection of the plane (IJK) and the plane (EFG).
The figure below represents a cube ABCDEFGH. The three points I, J, K are defined by the following conditions:
\begin{itemize}
\item I is the midpoint of segment [AD];
\item J is such that $\overrightarrow{\mathrm{AJ}} = \frac{3}{4}\overrightarrow{\mathrm{AE}}$;
\item K is the midpoint of segment [FG].
\end{itemize}
\begin{enumerate}
\item On the figure provided in the appendix, construct without justification the point of intersection P of the plane (IJK) and the line (EH). Leave the construction lines on the figure.
\item Deduce from this, by justifying, the intersection of the plane (IJK) and the plane (EFG).
\end{enumerate}