Question

Consider two complex numbers A = −4 + 5i and B = 4 − 10i.

a. Find the midpoint of A and B.
b. Find the distance betwen A and B.

Answer 1

given,

A = −4 + 5i and B = 4 − 10i.

midpoint of the complex number

`m = (-4+4)/(2) +(5-10)/(2)i`

m = 0 -2.5 i

m = - 2.5 i

distance between point A and B

AB = (-4-4) + (5-(-10))i

AB = -8 + 15 i

distance

=
`√(-8^2+15^2)`

=
`√(64+225)`

=
`√(289)`

AB = 17