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:
The modulus is seen to be the radius of the circle.
$\blacksquare$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Graphical Representation of Complex Numbers. Vectors: $63 \ \text {(e)}$