
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine a vector \(\begin{pmatrix}a \\ b \end{pmatrix}\) that points from the origin to the line parameterized by:
\[
\begin{align*} 
x &= 3s + 5, \\
y &= 2s + 4,
\end{align*}
\]
and is parallel to \(\begin{pmatrix}3 \\2 \end{pmatrix}\).

Present the answer in LaTex format: \boxed{Your answer}
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