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

Wed, 22 Apr 2026 11:26:31 +0000

Content under review