The Lions and Vikings combined for nine turnovers in regulation and two missed field goal attempts in the final 35 seconds.
The 10th turnover -- Brooks Bollinger's fumbled snap -- gave Detroit the ball at the 50. Jon Kitna, who missed two quarters after being shaken up, ran the ball twice to pick up a key first down and Brian Calhoun's 17-yard run set up Hanson's kick.
Detroit (2-0) has won its opening two games for the first time in three years.
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