Problem 25. Let $<u, v>$ be the inner product on $\mathbb{R}^2$ generated by $\begin{bmatrix} 0 & -1 \\ 2 & 1 \end{bmatrix}$, and let $u = (2, 1)$, $v = (3, -2)$, $w = (-2, 1)$. Compute the following.
(a) $<u, v>$ (b) $<u, v + w>$ (c) $||v||$ (d) $d(v, w)$ (e) $||u - w||^2$