Answer:
[tex]\large\boxed{\vec{u}-\vec{v}=<-7,\ -6>}[/tex]
Step-by-step explanation:
[tex]\vec{a}=<x_1,\ y_1>,\ \vec{b}=<x_2,\ y_2>\\\\\vec{a}\pm\vec{b}=<x_1\pm x_2,\ y_1\pm y_2>\\============================\\\\\vec{u}=<-6,\ 3>,\ \vec{v}=<1,\ 9>\\\\\vec{u}-\vec{v}=<-6-1,\ 3-9>=<-7,\ -6>[/tex]