In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1.
a. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 0.\\
b. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to $(-1)$.\\
c. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 1.\\
d. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 2.