Definition:Vector Cross Product/Complex/Definition 2
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Definition
Let $z_1$ and $z_2$ be complex numbers in vector form.
The cross product of $z_1$ and $z_2$ is defined as:
- $z_1 \times z_2 = \cmod {z_1} \, \cmod {z_2} \sin \theta$
where:
- $\cmod {z_1}$ denotes the complex modulus of $z_1$
- $\theta$ denotes the angle from $z_1$ to $z_2$, measured in the positive direction.
Also see
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Dot and Cross Product