how can be the following inequality proved:$$\|x-y\|\|z\| \le\|x-z\|\|y\|+\|y-z\|\|x\|$$ ($x,y,z$ are vectors from $\mathbb{R}^n$, $\|\cdot\|$ is the euclidean norm).
Thanks in advance.
2026-04-12 11:32:55.1775993575
One norm inequality
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