Solution: The dot product \(\mathbfu \cdot (\mathbfv + \mathbfw) = \mathbfu \cdot \mathbfv + \mathbfu \cdot \mathbfw\). Since \(\mathbfu\), \(\mathbfv\), and \(\mathbfw\) are unit vectors, each dot product is at most 1. The maximum occurs when \(\mathbfu\) aligns with both \(\mathbfv\) and \(\mathbfw\), i.e., \(\mathbfv = \mathbfw = \mathbfu\). Then \(\mathbfu \cdot (\mathbfv + \mathbfw) = 1 + 1 = 2\). - Londonproperty