Complex Algebra/Examples/3z1 - 2z2 + 5z3

Example of Complex Algebra

Let $z_1$, $z_2$ and $z_3$ be arbitrary complex numbers represented in the complex plane as follows:

The quantity $3 z_1 - 2 z_2 + 5 z_3$ can be depicted graphically as follows:

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: $62 \ \text {(d)}$