The position vector of point $A$ is $\begin{pmatrix}3 \\ -7\end{pmatrix}$, and $\overrightarrow{AB}=\begin{pmatrix}-5 \\ 12\end{pmatrix}$.
(a)[2]
State the coordinates of point $B$.
(b)[2]
Determine $|\overrightarrow{AB}|$.
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