For $x\in\mathbb R^n$ or $\mathbb C^n$, the Euclidean norm is $\|x\|_2=(\sum_j|x_j|^2)^{1/2}$. For $(3,4)$ it is $5$; for $(1,i)$ it is $\sqrt2$. The squares of absolute values, not plain complex squares, must be used.
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