### Instruction: Find $\begin{pmatrix} 3 \\ -7 \end{pmatrix} + \begin{pmatrix} -6 \\ 11 \end{pmatrix}.$.### Response: This is a problem involving vector addition, which means I need to add the corresponding components of the two vectors.
To do this, I can write the vectors in column form, or as ordered pairs, and then add them element-wise.
For example, the first component of the sum vector is 3 + (-6), which is -3.
The second component is -7 + 11, which is 4.
So the sum vector is $\begin{pmatrix} -3 \\ 4 \end{pmatrix}$, or (-3, 4) as an ordered pair.