Factual error: Right before Epsilon XI gets vaporized by V'Ger, Lieutenant Commander Branch (the person talking during the transmission seen during the meeting on the Recreation Deck) states that V'Ger is 82 AU's in diameter. Something that big would not even fit in our solar system, as 82 AU's is about 2.7 times the distance Neptune is from the Sun (corrected in the Director's Edition).
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