Assume all vectors lie in a 3D subspace. Express \(\mathbfu\) and \(\mathbfw\) in terms of an orthonormal basis adapted to the constraints. Use geometric insight: the maximum \(\mathbfu \cdot \mathbfw\) occurs when \(\mathbfu\) and \(\mathbfw\) are aligned as much as possible, consistent with intermediate alignments to \(\mathbfv\). - Nelissen Grade advocaten