Given: U= <-4, -1>, v= <0, -3>, w = <1, -1>, and z=<4, 2>.Based on the components of the given vectors, match the magnitude of each vector subtraction with its resulting value.

u - z is given by:
[tex]\begin{gathered} \vec{u}-\vec{z}=\langle-4,-1\rang-\langle4,2\rang \\ =\langle-4-4,-1-2\rang=\langle-4,-3\rang \\ =\langle-8,-3\rang \end{gathered}[/tex]Therefore, the value of ||u - z|| is given by:
[tex]\sqrt{(-8)^2+(-3)^2}=\sqrt{64+9}=\sqrt{73}\approx8.54[/tex]Therefore, the value of ||u - z|| is approximately 8.54.
Similarly, the value of ||v - w|| is approximately 2.24.
The value of ||w - u|| is 5.
The value of ||-u - w|| is approximately 3.61.