If $\theta$ is the angle between the vectors $\begin{pmatrix} 3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} 12 \\ 5 \end{pmatrix}$, then find $\cos \theta$.
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<|im_start|>user
If $\theta$ is the angle between the vectors $\begin{pmatrix} 3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} 12 \\ 5 \end{pmatrix}$, then find $\cos \theta$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{16}{65}
If $\theta$ is the angle between the vectors $\begin{pmatrix} 3 \\ -4 \end{pmatrix}$ and $\begin{pmatrix} 12 \\ 5 \end{pmatrix}$, then find $\cos \theta$.
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