\(\left\{{}\begin{matrix}\overrightarrow{AG}=\dfrac{2}{3}\overrightarrow{AD}\\\overrightarrow{GD}=\dfrac{1}{3}\overrightarrow{AD}\end{matrix}\right.\) \(\Rightarrow\dfrac{\overrightarrow{AG}}{\overrightarrow{GD}}=\dfrac{2}{3}:\dfrac{1}{3}=2\Rightarrow\overrightarrow{AG}=2\overrightarrow{GD}\Rightarrow A\) \(đúng\)
\(\overrightarrow{ED}=\dfrac{1}{2}\overrightarrow{AB}\Rightarrow\overrightarrow{AB}=2\overrightarrow{ED}\Rightarrow B\) \(sai\)
\(\overrightarrow{FE}=\dfrac{1}{2}\overrightarrow{BC}\Rightarrow\overrightarrow{BC}=2\overrightarrow{FE}\Rightarrow C\) \(đúng\)
\(\overrightarrow{FD}=\dfrac{1}{2}\overrightarrow{AC}\Rightarrow\overrightarrow{AC}=2\overrightarrow{FD}\) \(\Rightarrow D\) \(đúng\)
\(\Rightarrow B\)