"When you lose it in the manner that we did last year, it's always special to win it back," said Ryan Giggs, the United midfielder still going strong at 39. "We did it in style."
Van Persie's second goal will rank among the best at Old Trafford in recent years, the Dutchman connecting sweetly from the edge of the area following a perfectly weighted pass from Wayne Rooney. As the net rippled, Van Persie sprinted along the touchline to receive the acclaim of Old Trafford.
"As far as I'm concerned, it's the goal of the season," Ferguson said. "Technique, head over the ball. Magnificent strike."
City manager Roberto Mancini previously acknowledged that Van Persie has been "the difference" between the two teams this season, and each of the three goals must have been painful to watch for the blue half of Manchester.
"That's why we are champions," the celebrating United faithful sang midway through the first half, the title in the bag.
The trophy will be presented to United after its last home game of the season, against Swansea on May 12.
Villa will likely still be in a relegation battle then. This loss kept the team only three points above the bottom three, with just four games left.
Giggs has been with United for all 13 league titles, and the Welsh midfielder played a key role in Van Persie's other two goals.
His cushioned volley along the face of the 6-yard box was tapped in by Van Persie to give United the perfect start with barely a minute played.
And the striker showed a cool head to claim his hat trick, taking Giggs' short cross, rounding goalkeeper Brad Guzan and placing his shot into the top corner off the post from 7 yards out.
Van Persie is likely to finish the league's top scorer for the second straight season as he is one clear of Liverpool striker Luis Suarez, who is expected to be banned for the final month for biting an opponent on Sunday.
The end to a perfect first season with England's new champions.