2025 GESS PRELIMS P1 Q12

The position vector of \(C\) is \(\begin{pmatrix}-2\\5\end{pmatrix}\). The position vector of \(D\) is \(\begin{pmatrix}3\\-1\end{pmatrix}\).

1. Find the vector that represents the translation from \(C\) to \(D\).[1]
2. \(E\) is a point on \(CD\) such that \(|\overrightarrow{CE}|=2\sqrt{61}\), and the \(x\)-coordinate of \(C\) is greater than the \(x\)-coordinate of \(E\). Find \(\overrightarrow{CE}\).[2]