Question

Find the distance between w=1+2i and z=3-i

Answer 1

Answer:

The distance between w=1+2i and z=3-i is 3.61

Step-by-step explanation:

We need to find the distance between w=1+2i and z=3-i

The formula used is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=1, y_1=2, x_2=3, y_2=1$

We will use only real numbers and not i for calculating distance.

Putting values and finding distance

$Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61$

So, The distance between w=1+2i and z=3-i is 3.61