
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
Determine which of the following statements is true:
1. Parallel vectors are necessarily equal.
2. Non-equal vectors are not parallel.
3. Equal vectors are necessarily collinear.
4. Collinear vectors are necessarily equal.
5. Vectors of equal length are equal vectors.
6. Two vectors parallel to the same vector are collinear vectors.

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