对于任意的两个实数对 $(a, b)$ 和 $(c, d)$，规定：$(a, b) = (c, d)$，当且仅当 $a = c$，$b = d$；运算“$\otimes$”为：$(a, b) \otimes (c, d) = (ac - bd, bc + ad)$；运算“$\oplus$”为：$(a, b) \oplus (c, d) = (a + c, b + d)$. 设 $p$，$q \in \mathbf{R}$，若 $(1, 2) \otimes (p, q) = (5, 0)$，则 $(1, 2) \oplus (p, q) =$（ ）