Burns then took a drop pass at the red line and skated to the bottom of the right circle. He whipped a centering pass to Evander Kane, who chipped the puck into the net for his 10th goal and a 2-0 lead at 37 seconds of the second period.
San Jose scored three times in 3:18 of the third period to extend the lead.
"I think after we missed our chances in the second (period), we chose to play alone, play outside the structure, tried to get two goals at once, and you can't do that," Eakins said. "That's what happens in this league, right there."
Erik Karlsson scored at 5:58 to make it 3-0, the 10th power-play goal allowed by the Ducks in their past 19 shorthanded situations.
Meier made it 4-0 at 8:03. Kevin Labanc, who was a healthy scratch the previous game, made it 5-0 at 9:16.
"You put it behind you and give everything you have," Labanc said.
Handemark scored at 15:03 to make it 6-0. The 27-year-old played his NHL second game and is the sixth Sharks player to score his first NHL goal unassisted, the first since Jason Demers on Nov. 15, 2009 against the Chicago Blackhawks.
NOTES: Meier played 15:52 after missing two games with a lower-body injury. ... Sharks forward Rudolfs Balcers (undisclosed) was scratched. ... Burns had two assists to give him 493 in the NHL; Duncan Keith of the Chicago Blackhawks (517) and Ryan Suter of the Wild (506) are the active NHL defensemen with more. ... Kane has scored 12 points (six goals, six assists) in the past nine games. ... Anaheim forward Troy Terry (upper body) and defenseman Josh Manson (lower body) each missed a second straight games.