
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 \(a, b,\) and \(c\) coplanar?

Given vectors:
\[ a = \{-3, 3, 3\} \]
\[ b = \{-4, 7, 6\} \]
\[ c = \{3, 0, -1\} \]

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