Solution: The scalar triple product $\mathbf{u} \cdot (\mathbf{v} \times \mathbf{w})$ represents the volume of the parallelepiped formed by the vectors. Its maximum absolute value occurs when the vectors are mutually orthogonal. Since they are unit vectors, the maximum value is $1 \cdot 1 \cdot 1 = 1$. For example, if $\mathbf{u} = \mathbf{v} = \mathbf{w}$ are orthonormal, the

Mon, 04 May 2026 23:25:32 +0000

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