
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
Find the distance from the point $(3, 5, -1)$ to the line described by
\[\begin{pmatrix} 2 \\ 4 \\ 6 \end{pmatrix} + t \begin{pmatrix} 4 \\ 3 \\ -1 \end{pmatrix}.\]

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