New Delhi, Jan. 2 -- The Indian rupee weakened on Tuesday, tracking a drop in Asian peers, amid tepid risk appetite as attention turns to key U.S. economic data due this week. The rupee was at 83.33 against the U.S. dollar as of 10:10 a.m. IST, down 0.1% from its previous close at 83.2075. The Korean won and Thai baht led losses among Asian currencies and, declining 1% and 0.3%, respectively. The dollar index rose to 101.56. The rupee's decline was "largely driven by global cues," a foreign exchange trader at a state-run bank said, adding that the losses are likely to be contained as "good offers (to sell dollars) are present at these levels."The week is peppered with economic data releases in the United States, including the ISM manufactur...