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\|\mathbf{w} \times \mathbf{u}\| = \sqrt{(-1)^2 + (-2)^2 + 1^2} = \sqrt{6}.
This maximum is achieved when \( \mathbf{v} \) is parallel to \( \mathbf{w} \times \mathbf{u} \), and since \( \|\mathbf{v}\| = 1 \), the maximum value is \( \sqrt{6} \).
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