Complex Algebra/Examples/1 3 z2 - 3 4 z1 + 2 3 z3
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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 $\dfrac 1 3 z_2 - \dfrac 3 4 z_1 + \dfrac 2 3 z_3$ 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: $62 \ \text {(e)}$