
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

Are the vectors \( c_1 \) and \( c_2 \), constructed from vectors \( a \) and \( b \), collinear?

Given:

\( a = \{3, -1, 6\} \)

\( b = \{5, 7, 10\} \)

\( c_1 = 4a - 2b \)

\( c_2 = b - 2a \)

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