In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1. $\mathscr{P}$ denotes the plane $(AFH)$. $I$ is the midpoint of $[AE]$, $J$ is the midpoint of $[BC]$, $L$ is the intersection point of line $(EC)$ and plane $\mathscr{P}$. a. $\overrightarrow{EG}$ is a normal vector to plane $\mathscr{P}$. b. $\overrightarrow{EL}$ is a normal vector to plane $\mathscr{P}$. c. $\overrightarrow{IJ}$ is a normal vector to plane $\mathscr{P}$. d. $\overrightarrow{DI}$ is a normal vector to plane $\mathscr{P}$.
In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1. $\mathscr{P}$ denotes the plane $(AFH)$. $I$ is the midpoint of $[AE]$, $J$ is the midpoint of $[BC]$, $L$ is the intersection point of line $(EC)$ and plane $\mathscr{P}$.
a. $\overrightarrow{EG}$ is a normal vector to plane $\mathscr{P}$.\\
b. $\overrightarrow{EL}$ is a normal vector to plane $\mathscr{P}$.\\
c. $\overrightarrow{IJ}$ is a normal vector to plane $\mathscr{P}$.\\
d. $\overrightarrow{DI}$ is a normal vector to plane $\mathscr{P}$.