Thus, the maximum value of \( |\mathbfv \cdot (\mathbfw \times \mathbfu)| \) is \( \sqrt6 \), achieved when \( \mathbfv \) is in the direction of \( \mathbfw \times \mathbfu \). Since the dot product achieves its maximum absolute value when \( \mathbfv \) is aligned with \( \mathbfw \times \mathbfu \), and \( \|\mathbfv\| = 1 \), the maximum is \( \sqrt6 \). - ClickBalance