Complex Conjugate/Examples/conj z1 - conj z2/Proof 1

Example of Complex Conjugates

$\overline {z_1} - \overline {z_2} = 5 + 5 i$

Proof

An illustration of the modulus of the difference of the complex conjugates of the complex numbers:

$z_1 = 4 - 3 i$

$z_2 = -1 + 2 i$

is given below:

$\blacksquare$

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: $63 \ \text {(c)}$