\(\overrightarrow{AB}=\left(4;3\right)\) ; \(\overrightarrow{AC}=\left(6;1\right)\Rightarrow2\overrightarrow{AC}=\left(12;2\right)\)
\(\Rightarrow\overrightarrow{u}=\left(12-4;2-3\right)=\left(8;-1\right)\)
Gọi \(M\left(x;y\right)\Rightarrow\left\{{}\begin{matrix}\overrightarrow{MA}=\left(-4-x;-y\right)\\\overrightarrow{MB}=\left(-x;3-y\right)\\\overrightarrow{MC}=\left(2-x;1-y\right)\end{matrix}\right.\)
\(\Rightarrow\overrightarrow{MA}+2\overrightarrow{MB}+3\overrightarrow{MC}=\left(2-6x;9-6y\right)\)
\(\Rightarrow\left\{{}\begin{matrix}2-6x=0\\9-6y=0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{3}\\y=\dfrac{3}{2}\end{matrix}\right.\)
\(\Rightarrow M\left(\dfrac{1}{3};\dfrac{3}{2}\right)\)
