
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
A line is described by a parameter \( t \). The vector on the line for \( t = -2 \) is \( \begin{pmatrix} 2 \\ 4 \\ 7 \end{pmatrix} \) and for \( t = 1 \) it is \( \begin{pmatrix} -1 \\ 0 \\ -3 \end{pmatrix} \). Determine the vector on this line at \( t = -1 \) and check whether the vector \( \begin{pmatrix} 3 \\ 604 \\ -6 \end{pmatrix} \) lies on this line.

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