The officers shot two people in the vehicle, but neither turned out to be connected to the Dorner case, Beck said.
Both were taken to a hospital. One was in stable condition Thursday with two gunshot wounds, and the other was expected to be released shortly, Beck said.
"I ... feel great sadness for the injuries suffered by ... the two uninvolved citizens in Torrance," he said.
Police also shot at another pickup matching the description of Dorner's vehicle in Torrance, but no one was injured in that incident, a senior law enforcement source said.
February 7: Details of manifesto
An LAPD source gave CNN a copy of the manifesto that Dorner allegedly wrote.
In the letter, he allegedly threatened to use his Navy training to harm police officers involved in his case and their families.
"I will bring unconventional and asymmetrical warfare to those in LAPD uniform whether on or off duty," Dorner allegedly wrote.
The letter said he was terminated after he reported excessive force by a fellow officer. The writer said his attacks were retribution for his termination, as well as a culture of racism and violence he said continues within the department.
February 7: Dorner's truck found on fire, police say
Investigators found Dorner's truck abandoned and burning on a forestry road near Big Bear Lake, about 100 miles east of Los Angeles, San Bernardino County Sheriff John McMahon said.
The discovery spurred more officers to converge on the area to beef up patrols and go to every residence in the mountain community. Police searched at least 400 homes in the area.
February 8: Massive search in the mountains
The hunt for Dorner was "extremely dangerous," the San Bernardino County sheriff said, as SWAT teams used snowcats to zoom up a mountain and other officers prowled forest roads in an armored personnel carrier.
"We're going to continue searching until we either discover he left the mountain or we find him," McMahon told reporters at Big Bear Lake.
Elsewhere, U.S. Navy installations throughout California and Nevada were "maintaining a heightened security posture," a U.S. military official told CNN.
February 8: Plenty of weapons
Guns found in the burned truck were also burned, but authorities believe Dorner may have had up to 30 guns with him, said a source with knowledge of the investigation. Dorner was trained in counterinsurgency and intelligence in the Navy, the source said.
In La Palma, California, police searched the home of Dorner's mother, and she and a daughter were cooperating with investigators, Irvine police Lt. Bill Whalen said.
February 8: No sighting of suspect