Question

3. A segment in the complex plane has a midpoint at −1 7i. If one endpoint of the segment is at 3 8i, what is the other endpoint? i.

Answer 1

The other point is $-5+6\iota$.

Complex System

It is the system in which real and imaginary parts are present.

Given

$Mid point\ =\ -1+7\iota\\ One end point\ =\ 3+8\iota$

How do calculate other points?

Real part

$\rm x=\dfrac{ x_{1} +x_{2} }{2} \\ -1=\dfrac{3+x_{2} }{2} \\ x_{2} = -5$

Imaginary part

$\rm y=\dfrac{ y_{1} +y_{2} }{2} \\7=\dfrac{8+y_{2} }{2} \\y_{2} = 6$

Hence, the other point is $-5+6\iota$.

More about complex system links is given below.

https://brainly.com/question/10251853