In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1. $I$ is the midpoint of $[AE]$, $J$ is the midpoint of $[BC]$.
a. Lines $(IJ)$ and $(EC)$ are strictly parallel.\\
b. Lines $(IJ)$ and $(EC)$ are non-coplanar.\\
c. Lines $(IJ)$ and $(EC)$ are intersecting.\\
d. Lines $(IJ)$ and $(EC)$ are coincident.