Phương pháp giải:

Sử dụng định lí: $\left\{ \begin{array}{l}d \bot a\\d \bot b\\a \cap b \subset \left( P \right)\end{array} \right. \Rightarrow d \bot \left( P \right)$, $\left\{ \begin{array}{l}d \bot \left( P \right)\\a \subset \left( P \right)\end{array} \right. \Rightarrow d \bot a$.

Lời giải chi tiết:

+ $\left\{ \begin{array}{l}BC \bot AB\\BC \bot SA\,\,\left( {SA \bot \left( {ABCD} \right)} \right)\end{array} \right.$$\Rightarrow BC \bot \left( {SAB} \right) \Rightarrow BC \bot AE$ .

+ $\left\{ \begin{array}{l}AE \bot BC\,\,\left( {cmt} \right)\\AE \bot SB\,\,\,\left( {gt} \right)\end{array} \right. \Rightarrow AE \bot \left( {SBC} \right) \Rightarrow AE \bot SC$.

+ CMTT: $AF \bot SC$.

+ $\left\{ \begin{array}{l}SC \bot AE\\SC \bot AF\end{array} \right. \Rightarrow SC \bot \left( {AEF} \right)$.

Chọn D.