Answer:
a) 9.22 units
b) 2+0.5i
Step-by-step explanation:
[tex]z_1=3-4i[/tex]
[tex]z_2=-1+5i[/tex]
[tex]z_1-z_2=(3-4i)-(1+5i)\\\Rightarrow z_1-z_2=3-4i-1-5i\\\Rightarrow z_1-z_2=2-9i[/tex]
a) Distance between them is
[tex]s=\sqrt{2^2+(-9)^2}\\\Rightarrow s=9.22\ units[/tex]
Distance between them is 9.22 units
b) Midpoint
[tex]\frac{3+1}{2}+\frac{-4i+5i}{2}\\ = 2+0.5i[/tex]
The midpoint of the egment joining [tex]z_1[/tex] and [tex]z_2[/tex] is 2+0.5i
