Christopher Dorner Update: Police reportedly exchange gunfire with fugitive

(CBS/AP) - Federal authorities exchanged gunfire with fugitive ex-cop Christopher Dorner in the Big Bear area of Southern California on Tuesday, sources tell the Los Angeles Times.

PICTURES: Ex-LAPD cop accused of going on killing spree

Dorner, 33, is accused of killing three people as part of a revenge-driven rampage against the Los Angeles Police Department. A $1 million reward has been offered in the case.

According to the Times, Dorner burglarized a home, tied up the couple inside, and stole a car before the shootout occurred.

Complete coverage of Christopher Dorner on Crimesider