Consider the relation R$($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$).$

$($a$)$ Are the following Functional Dependencies $($FDs$)$ suitable for making the relation R be

in the third normal form $(3$NF$)?$ Explain your answer.

FD$1$: $\{$A$,$ C$\}\{$B$,$ D$,$ E$,$ F$,$ G$\}$

FD$2$: B $$ C

FD$3$: D $$C