Solution: To find the maximum possible value of \(\mathbfu \cdot \mathbfw\), we start by using the Cauchy-Schwarz inequality: \(|\mathbfu \cdot \mathbfw| \leq \|\mathbfu\| \|\mathbfw\| = 8\). This gives the bound \( -8 \leq \mathbfu \cdot \mathbfw \leq 8\). However, we must incorporate the given dot products \(\mathbfu \cdot \mathbfv = 1\) and \(\mathbfv \cdot \mathbfw = 6\). - Nelissen Grade advocaten