Question

Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i

Answer 1

The distance between given points is: √20

Explanation:

The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.

Given numbers are:

`z_1 = 2-3i\\z_2 =4+i`

The difference will be calculated as:

`z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i`

The distance will be:

`d = √((2)^2+(4)^2)\\= √(4+16)\\=√(20)`

Hence,

The distance between given points is: √20