Question

Determine the distance between 2 − i and 3 + i on the complex plane.

Answer 1

$$|(2-i)-(3+i)|=|-1-2i|$$

$$=\sqrt{(-1)^2+(-2)^2}=\sqrt{5}$$

The distance between $2 − i$ and $3 + i$ on the complex plane is $\sqrt{5}.$