What is the distance between 1 + 3i and 2 – 4i in the complex plane?
We will use the distance formula concept in order to find the distance.
Answer: D = √50 units
Let us see how we will use the concept of the distance formula in order to find the distance.
For the complex vector 1 + 3i it can be written as (1, 3) on the coordinate plane.
Also for the complex vector 2 – 4i it can be written as (2, -4) on the coordinate plane.
Now according to the distance formula, the distance between two points (a, b) and (c, d) in the coordinate plane will be given as.
D = √(a - c)2 + (b - d)2
Now substituting (1, 3) and (2, -4) in the distance formula we get that.
D = √(1 - 2)2 + (-4 - 3)2
D = √50