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1. Weighted inner product of a sum ●○○○○ 10 ptsLet $\langle u,v\rangle = 4u_1v_1 + 5u_2v_2$ for vectors $u=(u_1,u_2)$ and $v=(v_1,v_2)$ in $\mathbb{R}^2$. Given $u=(3,-2)$, $v=(4,5)$ and $w=(-1,6)$, find $\langle u+v, w\rangle$.