Step 1:
Recall the triangle inequality for vectors, which states that for any vectors \(\mathbf{u}\) and \(\mathbf{v}\) in a vector space \(V\) with a norm \(\|\cdot\|\), the inequality \(\|\mathbf{u} + \mathbf{v}\| \leq \|\mathbf{u}\| + \|\mathbf{v}\|\) holds.
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