Complex Algebra/Examples/2z1 + z3

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 $2 z_1 + z_3$ 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: $62 \ \text {(a)}$