
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
In a 3D space, the points \( E = (2, -5, 1) \), \( F = (4, -9, 4) \), \( G = (3, -4, -1) \), and \( H = (5, -8, 2) \) are given. Determine if these points form a parallelogram and if so, find the area of this parallelogram.

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