Answer:
[tex]-\vec{u}-\vec{v}=<6,\ -11>\\\vec{u}-\vec{v}=<-10,\ -3>\\\vec{v}-\vec{u}=<10,\ 3>[/tex]
Step-by-step explanation:
[tex]\vec{a}=<x_1,\ y_1>,\ \vec{b}=<x_2,\ y_2>\\\\\vec{a}-\vec{b}=<x_1-x_2,\ y_1-y_2>\\\\-\vec{a}=<-x_1,\ -y_1>[/tex]
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[tex]-\vec{u}-\vec{v}=-<-8,\ 4>-<2,\ 7>=<-(-8),\ -4>-<2,\ 7>\\=<8-2,\ -4-7>=<6,\ -11>\\\\\vec{u}-\vec{v}=<-8,\ 4>-<2,\ 7>=<-8-2,\ 4-7>=<-10,\ -3>\\\\\vec{v}-\vec{u}=<2,\ 7>-<-8,\ 4>=<2-(-8),\ 7-4>=<10,\ 3>[/tex]
You could use
[tex]\vec{v}-\vec{u}=-(\vec{u}-\vec{v})=-<-10,\ -3>=<-(-10),\ -(-3)>\\=<10,\ 3>[/tex]
