Definition:Vector Cross Product/Complex/Definition 2

From ProofWiki
Jump to navigation Jump to search

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