Is magnitude of cross product commutative?

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By definition of magnitude of cross product:

$\| \mathbf{F} \times \mathbf{r} \|= \| \mathbf{F} \|\ \| \mathbf{r} \| \sin (\mathbf{F},\mathbf{r}) \tag1$

$\| \mathbf{r} \times \mathbf{F} \|= \| \mathbf{r} \|\ \| \mathbf{F} \| \sin (\mathbf{r},\mathbf{F})\tag2$

By $(1)$ and $(2)$: $\| \mathbf{F} \times \mathbf{r} \|=-\| \mathbf{r} \times \mathbf{F} \|\tag3$

$\| \mathbf{F} \times \mathbf{r} \|$ and $\| \mathbf{r} \times \mathbf{F} \|$ are modes of vectors.

$\| \mathbf{F} \times \mathbf{r} \|$ and $\| \mathbf{r} \times \mathbf{F} \|$ are positive.

Then how can equation $3$ be true?