
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?

\[a = \{2, 0, -5\}\]

\[b = \{1, -3, 4\}\]

\[c_1 = 2a - 5b\]

\[c_2 = 5a - 2b\]

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