Cho \(\overrightarrow{u}=\left(3;-2\right),\overrightarrow{v}=\left(4;0\right),\overrightarrow{w}=\left(3;2\right)\). Mệnh đề nào sau đây đúng?
\(2\overrightarrow{u}-3\overrightarrow{v}=-2\overrightarrow{w}\) \(2\overrightarrow{u}-3\overrightarrow{v}=2\overrightarrow{w}\) \(2\overrightarrow{u}-3\overrightarrow{v}=-3\overrightarrow{w}\) \(2\overrightarrow{u}-3\overrightarrow{v}=3\overrightarrow{w}\) Hướng dẫn giải:\(2\overrightarrow{u}-3\overrightarrow{v}=2.\left(3;-2\right)-3.\left(4;0\right)=\left(6;-4\right)-\left(12;0\right)=\left(-6;-4\right)=-2.\left(3;2\right)=-2\overrightarrow{w}\)
