5Question: Let \( \mathbfv \) be a vector in \( \mathbbR^3 \) such that \( \|\mathbfv\| = 1 \) and \( \mathbfv \cdot (\mathbfw \times \mathbfu) = \frac12 \), where \( \mathbfw = \langle 1, 0, 1 \rangle \), \( \mathbfu = \langle 0, 1, 2 \rangle \). Find the maximum possible value of \( \|\mathbfv\| \) under the constraint—wait, correction: \( \|\mathbfv\| \) is fixed at 1, so instead reinterpret: find the maximum of \( \|\mathbfv\|^2 \) given the dot product condition, but since \( \|\mathbfv\| = 1 \), we instead seek consistent interpretation. - Abu Waleed Tea