Answer:
Step-by-step explanation:
[tex]\frac{\vec v \bullet \vec w}{||\vec w||}\bullet \vec w[/tex]
[tex]\vec v \bullet \vec w = <-5, -2>\bullet <1,-1>= -5+2 = -3[/tex]
[tex]||\vec w ||=\sqrt{2}[/tex]
Hence, the result will be
[tex]\frac{-3\sqrt{2} }{2} <1,-1>[/tex]
you can put the scalar in to get
[tex]<-\frac{3\sqrt{2 }}{2} , \frac{3\sqrt{2} }{2} >[/tex]
