MINNEAPOLIS — As the police arrested three people on Tuesday in connection with the shooting of five people during a Black Lives Matter protest outside a police precinct here, demonstrators returned to the street with renewed vigor, vowing not to cower in fear of what one organizer called “an act of terrorism.”

Tensions remained high as activists urged caution among the peaceful demonstrators who have been protesting after a white Minneapolis police officer fatally shot Jamar Clark, 24, an unarmed black man, on Nov. 15.

The police said that they had arrested a 23-year-old white man, and that two other white men, ages 21 and 26, turned themselves in on Tuesday afternoon. A 32-year-old Hispanic had been detained and questioned but was released when the police determined that he was not involved in the Monday night shooting, they said.