Definition:Vector Cross Product/Complex/Definition 4
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Definition
Let $z_1$ and $z_2$ be complex numbers.
The cross product of $z_1$ and $z_2$ is defined as:
- $z_1 \times z_2 := \dfrac {\overline {z_1} z_2 - z_1 \overline {z_2}} {2 i}$
where:
- $\overline {z_1}$ denotes the complex conjugate of $z_1$
- $\overline {z_1} z_2$ denotes complex multiplication.
Also see
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Dot and Cross Product