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3 years ago

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

Mathematics

1 answer:

blagie [28]3 years ago

4 0

Answer:

The distance between given points is: √20

Step-by-step 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:

$d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}$

Hence,

The distance between given points is: √20

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