
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 \( \mathbf{a}, \mathbf{b}, \mathbf{c} \) coplanar?

Given:
\[ \mathbf{a} = \{ 3, 1, 0 \} \]
\[ \mathbf{b} = \{ -5, -4, -5 \} \]
\[ \mathbf{c} = \{ 4, 2, 4 \} \]

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