[[Complex numbers]]
# Complex quadrance

The **quadrance** $Q(z)$ of a [[Complex numbers|complex number]] $z \in \mathbb{C}$ is the square of its euclidean norm #m/def/gen 
$$
\begin{align*}
Q(z) = z^* z = \abs{z}^2
\end{align*}
$$
This makes $\mathbb{C}$ a [[quadratic space]] over $\mathbb{R}$.

## Properties

1. $Q(wz)= Q(w)Q(z)$

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