Solution: The scalar triple product $\mathbfu \cdot (\mathbfv \times \mathbfw)$ 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 $\mathbfu = \mathbfv = \mathbfw$ are orthonormal, the - Crosslake
Mar 01, 2026
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