Question

Find the distance between
-2-3i
and
3+9i

Answer 1

13

Explanation:

We can consider the complex number
`x+iy` as point with coordinates
`(x,y),` where
`x` is real part of the complex number and
`y` is an imaginary part of the complex number.

The distance between two complex numbers is exactly tha distance between two points corresponding to each number.

`z_1=-2-3i\Rightarrow A(-2,-3)\\ \\z_2=3+9i\Rightarrow B(3,9)`

Now find the distance between A and B:

`AB=√((-2-3)^2+(-3-9)^2)=√((-5)^2+(-12)^2)=√(25+144)=√(169)=13\ units`