
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 $c_{1 \text { and }} c_{2}$, constructed from the vectors $a \text { and } b$, collinear?

Given:
$$a=\{-9, 5, 3\}$$
$$b=\{7, 1, -2\}$$
$$c_{1}=2a - b$$
$$c_{2}=3a + 5b$$

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