Complex Modulus/Examples/z1 - z2/Proof 1

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Example of Complex Modulus

$\cmod {z_1 - z_2} = 5 \sqrt 2$


Proof

An illustration of the modulus of the sum of the complex numbers:

$z_1 = 4 - 3 i$
$z_2 = -1 + 2 i$

is given below:


Complex-Modulus-z1-z2.png


The modulus is seen to be the radius of the circle.

$\blacksquare$


Sources