Corrected interpretation: Find the maximum value of \( k \) such that \( \mathbfv \cdot (\mathbfw \times \mathbfu) = \frac12 \) is possible for a unit vector \( \mathbfv \), or equivalently find the maximum efficiency of such a dot product under normalization. But since \( \|\mathbfv\| \) is constrained to 1, the equation defines a constraint; perhaps instead ask: find the maximum possible value of \( \left| \mathbfv \cdot (\mathbfw \times \mathbfu) \right| \) over all unit vectors \( \mathbfv \), which is always 1 via Cauchy-Schwarz. But that’s trivial. - Appfinity Technologies