Complex Modulus/Examples/2 conj z1 - 3 conj z2 - 2/Proof 1

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Example of Complex Modulus

$\cmod {2 \overline {z_1} - 3 \overline {z_2} - 2} = 15$


Proof

An illustration of the evaluation of $\cmod {2 \overline {z_1} - 3 \overline {z_2} - 2}$, where:

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

is given below:


Complex-Conjugate-2 conj z1 - 3 conj z2 - 2.png


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

$\blacksquare$


Sources