Given:
The vector n is:
[tex]<-4,-3>[/tex]The unit vector is given as:
[tex]\begin{gathered} \text{unit vector=}\frac{vector\text{ n}}{\text{magnitude of vector n}} \\ =\frac{<-4,-3>}{\sqrt[]{(-4)^2+(-3)^2}} \end{gathered}[/tex]Solving further,
[tex]\begin{gathered} \text{unit vector=}\frac{<-4,-3>}{\sqrt[]{16+9}} \\ =\frac{<-4,-3>}{\sqrt[]{25}} \\ =\frac{<-4,-3>}{5} \end{gathered}[/tex]Thus, the unit vector is given as:
[tex]\begin{gathered} =\frac{1}{5}<-4,-3> \\ =<\frac{-4}{5},\frac{-3}{5}> \end{gathered}[/tex]