Factual error: At the end of the first semifinal, as Cheng's gang gather to congratulate him, the events are being recorded for posterity by a photographer standing about 6 feet away, who, unfortunately is using at least a 200mm lens. I'm not sure he could even get Cheng's left eye into focus.

The Karate Kid (2010)
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Directed by: Harald Zwart
Starring: Jackie Chan, Taraji P. Henson, Jaden Smith, Wenwen Han
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Dre Parker: Mr. Han... Do you know you got a car in your living room?
Trivia: Ralph Macchio refused to make cameo appearance in this movie.
Question: Why did Cheng present the trophy to Dre and why did they all bow to Mr. Han?
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Answer: Because Dre has finally earned Chengs respect. The other Fighting Dragons bowed to Mr. Han because in China bowing is shown as a sign of respect as they see that he is a better teacher and a kinder master then Master Li.
Since this movie mirrors the 1984 original movie, this is like how Johnny Lawrence (William Zabka) and the Cobra Kai's (excluding Dutch [Chad McQueen]) finally respect Daniel Larusso (Ralph Macchio), after the latter defeats Lawrence-The only difference is that the Cobras do not bow to Mr. Miyagi.