Bournemouth easily overcame relegation rivals Norwich City to move five points clear of the bottom three.
The Cherries led when Dan Gosling headed in Marc Pugh's cross.
Bournemouth wanted a penalty when Russell Martin held back Charlie Daniels in the area, and Norwich keeper Declan Rudd was fortunate not to be sent off for fouling Benik Afobe.
But Vadis Odjidja brought down Pugh to allow Daniels to score from the spot before Benik Afobe rounded off the win.
It ended a four-game winless run in the Premier League for Eddie Howe's men, who climb above their opponents into 15th.
Relive Bournemouth's win over Norwich
Read all of Saturday's Premier League reaction
It was Norwich who came into the game in better form, having won three of their past five matches in the league, but this was a worrying performance against a side who came up with them from the Championship last season.
And the scoreline could have been even more emphatically in the home team's favour had referee Robert Madley decided to award a penalty for Martin's attempt to hold on to Daniels in the area, or opted to show Rudd a red card when the keeper clipped Afobe on his way through to goal.
It turned out the Cherries did not need the assistance of the official.
The tireless Pugh had already provided a superb cross for Gosling to nod in at the back post.
And in the second half Daniels, who was tremendous throughout, added an assist to his converted penalty by skipping past two Norwich players and sliding in a cross that allowed Afobe to poke in his first goal since joining from Wolves in a £10m move.
Norwich were reportedly among the clubs interested in signing Afobe in this transfer window, and they saw first hand at Dean Court that the 22-year-old has the strength, pace and finishing prowess to make an impact in the top flight.
The former Arsenal forward, who had scored nine Championship goals already this season, regularly held off Norwich's centre-half pairing of Sebastien Bassong and Ryan Bennett, laying off the ball to bring team-mates into the game.
He outpaced the Canaries back four on his way to being clattered by Rudd in the first half, before picking the perfect place in the six-yard box to collect his first Premier League goal in the second.
Bournemouth did not even need to use their returning striker Lewis Grabban, a £7m signing from the Canaries this week, as the striker was said to be ill and watched the game from the stands.
There were few positives for Norwich to take away from the south coast, as they dwell on back-to-back defeats in the league that leave them four points above the bottom three.
Their only chance of note was an opening for Dieumerci Mbokani, whose attempted lob drifted 10 yards wide of goal.
Alex Neil's side defended horribly at times, with full-backs Martin and Robbie Brady too often beaten by Bournemouth's widemen.
And the hosts could have added to their tally if Rudd, who was fortunate to still be on the pitch, had not pulled off sharp saves in the second half from Pugh's mazy dribble and shot as well as Steve Cook's header.
Bournemouth manager Eddie Howe: "It was the perfect afternoon in many ways.
"Any win in this league is so valuable and the players produced an excellent, assured performance.
"We knew the importance of this month going into it and today is a big step. We've got Sunderland next week and the games just keep getting bigger."
Norwich manager Alex Neil said: "We didn't deserve anything from the game, but we won't start buying people left, right and centre just because we lost the match.
"The transfer plans are in place, and we don't make decisions like that on the back of one game.
"Bournemouth were the better side. We didn't do enough with the ball and we got caught out by a couple of things we spoke about before the game, so that's disappointing."
Bournemouth travel to 19th-placed Sunderland on Saturday, in another big relegation game. Norwich host Liverpool on the same day, looking to avoid a third consecutive defeat in the league.
Full Time Match ends, Bournemouth 3, Norwich City 0.
90:00 +4:09 Full timeFull Time Second Half ends, Bournemouth 3, Norwich City 0.
90:00 +3:50Ryan Bennett (Norwich City) wins a free kick in the defensive half.
90:00 +3:50Foul by Glenn Murray (Bournemouth).
90:00 +2:44Foul by Cameron Jerome (Norwich City).
90:00 +2:44Marc Pugh (Bournemouth) wins a free kick on the left wing.
90:00 +1:56Foul by Alexander Tettey (Norwich City).
90:00 +1:56Glenn Murray (Bournemouth) wins a free kick in the defensive half.
90:00 +1:15 SubstitutionSubstitution Substitution, Bournemouth. Yann Kermorgant replaces Dan Gosling.
87:08Foul by Alexander Tettey (Norwich City).
87:08Eunan O'Kane (Bournemouth) wins a free kick in the defensive half.
84:52Corner, Norwich City. Conceded by Simon Francis.
84:50Attempt blocked. Robbie Brady (Norwich City) left footed shot from the left side of the box is blocked.
84:26Corner, Norwich City. Conceded by Simon Francis.
83:52Dieumerci Mbokani (Norwich City) wins a free kick on the right wing.
83:52Foul by Steve Cook (Bournemouth).
83:24 SubstitutionSubstitution Substitution, Bournemouth. Glenn Murray replaces Benik Afobe because of an injury.
83:14Delay over. They are ready to continue.
82:16Delay in match Benik Afobe (Bournemouth) because of an injury.
79:39 SubstitutionSubstitution Substitution, Bournemouth. Eunan O'Kane replaces Harry Arter.
Offside, Norwich City. Russell Martin tries a through ball, but Dieumerci Mbokani is caught offside.
74:48 Goal scoredGoal! Goal! Bournemouth 3, Norwich City 0. Benik Afobe (Bournemouth) right footed shot from the centre of the box to the bottom left corner. Assisted by Charlie Daniels with a cross.
73:56Marc Pugh (Bournemouth) wins a free kick on the left wing.
73:56Foul by Russell Martin (Norwich City).
73:17Attempt missed. Graham Dorrans (Norwich City) right footed shot from the right side of the box is too high.
72:27Attempt saved. Dieumerci Mbokani (Norwich City) right footed shot from the right side of the box is saved in the bottom right corner. Assisted by Russell Martin.
71:38Attempt missed. Dieumerci Mbokani (Norwich City) right footed shot from outside the box misses to the right.
69:28Marc Pugh (Bournemouth) wins a free kick on the left wing.
69:28Foul by Nathan Redmond (Norwich City).
69:12Attempt saved. Dan Gosling (Bournemouth) right footed shot from outside the box is saved in the centre of the goal. Assisted by Benik Afobe with a headed pass.
68:57 SubstitutionSubstitution Substitution, Norwich City. Graham Dorrans replaces Wes Hoolahan.
67:55Foul by Adam Smith (Bournemouth).
67:55Wes Hoolahan (Norwich City) wins a free kick on the left wing.
67:22Attempt blocked. Benik Afobe (Bournemouth) right footed shot from the centre of the box is blocked. Assisted by Junior Stanislas with a cross.
66:58Corner, Bournemouth. Conceded by Declan Rudd.
66:56Attempt saved. Steve Cook (Bournemouth) header from the centre of the box is saved in the top right corner. Assisted by Junior Stanislas with a cross.
66:26Corner, Bournemouth. Conceded by Sebastien Bassong.
65:29Steve Cook (Bournemouth) wins a free kick in the defensive half.
65:29Foul by Cameron Jerome (Norwich City).
63:53Corner, Norwich City. Conceded by Steve Cook.
63:52Attempt blocked. Cameron Jerome (Norwich City) right footed shot from the centre of the box is blocked. Assisted by Nathan Redmond.
63:49Attempt blocked. Wes Hoolahan (Norwich City) header from the centre of the box is blocked. Assisted by Robbie Brady with a cross.
62:38Attempt missed. Junior Stanislas (Bournemouth) left footed shot from outside the box misses to the right.
62:18Delay over. They are ready to continue.
61:20Delay in match Dan Gosling (Bournemouth) because of an injury.
59:21Junior Stanislas (Bournemouth) wins a free kick on the right wing.
59:21Foul by Alexander Tettey (Norwich City).
56:11Attempt missed. Harry Arter (Bournemouth) left footed shot from a difficult angle and long range on the left is close, but misses to the left. Assisted by Marc Pugh.
55:40 SubstitutionSubstitution Substitution, Norwich City. Nathan Redmond replaces Vadis Odjidja-Ofoe.
55:25 SubstitutionSubstitution Substitution, Norwich City. Cameron Jerome replaces Matthew Jarvis.
54:39Offside, Norwich City. Robbie Brady tries a through ball, but Dieumerci Mbokani is caught offside.
53:27 Goal scoredGoal! Goal! Bournemouth 2, Norwich City 0. Charlie Daniels (Bournemouth) converts the penalty with a left footed shot to the bottom left corner.
52:34Penalty Bournemouth. Marc Pugh draws a foul in the penalty area.
52:34Penalty conceded by Vadis Odjidja-Ofoe (Norwich City) after a foul in the penalty area.
52:20Corner, Bournemouth. Conceded by Russell Martin.
52:17Attempt blocked. Marc Pugh (Bournemouth) header from the left side of the box is blocked.
51:34Dan Gosling (Bournemouth) wins a free kick in the attacking half.
51:34Foul by Jonny Howson (Norwich City).
48:04Foul by Dan Gosling (Bournemouth).
48:04Dieumerci Mbokani (Norwich City) wins a free kick in the defensive half.
47:19 BookingBooking Harry Arter (Bournemouth) is shown the yellow card.
45:52Adam Smith (Bournemouth) wins a free kick on the right wing.
45:52Foul by Wes Hoolahan (Norwich City).
45:23Attempt saved. Marc Pugh (Bournemouth) left footed shot from the centre of the box is saved in the centre of the goal. Assisted by Harry Arter.
45:00Second Half begins Bournemouth 1, Norwich City 0.
45:00 +2:05 Half timeHalf Time First Half ends, Bournemouth 1, Norwich City 0.
45:00 +1:24Offside, Norwich City. Robbie Brady tries a through ball, but Dieumerci Mbokani is caught offside.
44:43Attempt missed. Junior Stanislas (Bournemouth) right footed shot from outside the box is just a bit too high from a direct free kick.
44:34Delay over. They are ready to continue.
43:09Delay in match Benik Afobe (Bournemouth) because of an injury.
42:24 BookingBooking Declan Rudd (Norwich City) is shown the yellow card for a bad foul.
41:34Benik Afobe (Bournemouth) wins a free kick in the attacking half.
41:34Foul by Declan Rudd (Norwich City).
37:58Foul by Junior Stanislas (Bournemouth).
37:58Robbie Brady (Norwich City) wins a free kick on the left wing.
37:05Junior Stanislas (Bournemouth) wins a free kick in the defensive half.
37:05Foul by Jonny Howson (Norwich City).
36:16Attempt missed. Alexander Tettey (Norwich City) right footed shot from outside the box is high and wide to the right. Assisted by Vadis Odjidja-Ofoe.
34:20Attempt saved. Robbie Brady (Norwich City) left footed shot from outside the box is saved in the centre of the goal.
33:30Foul by Simon Francis (Bournemouth).
33:30Dieumerci Mbokani (Norwich City) wins a free kick in the attacking half.
32:35Attempt missed. Harry Arter (Bournemouth) left footed shot from outside the box is close, but misses the top left corner. Assisted by Junior Stanislas.
31:36Attempt saved. Matthew Jarvis (Norwich City) right footed shot from the left side of the box is saved in the centre of the goal. Assisted by Dieumerci Mbokani.
26:46Corner, Bournemouth. Conceded by Russell Martin.
22:31Corner, Bournemouth. Conceded by Russell Martin.
21:05Benik Afobe (Bournemouth) wins a free kick on the right wing.
21:05Foul by Sebastien Bassong (Norwich City).
18:19Attempt missed. Dan Gosling (Bournemouth) left footed shot from outside the box is close, but misses to the left. Assisted by Benik Afobe.
15:02Foul by Harry Arter (Bournemouth).
15:02Alexander Tettey (Norwich City) wins a free kick in the attacking half.
13:44Foul by Junior Stanislas (Bournemouth).
13:44Robbie Brady (Norwich City) wins a free kick in the defensive half.
11:39Offside, Bournemouth. Harry Arter tries a through ball, but Charlie Daniels is caught offside.
10:17Attempt blocked. Wes Hoolahan (Norwich City) left footed shot from outside the box is blocked.
9:08 Goal scoredGoal! Goal! Bournemouth 1, Norwich City 0. Dan Gosling (Bournemouth) header from very close range to the bottom left corner. Assisted by Marc Pugh with a cross.
6:44Offside, Norwich City. Robbie Brady tries a through ball, but Matthew Jarvis is caught offside.
4:26Attempt saved. Junior Stanislas (Bournemouth) right footed shot from the right side of the box is saved in the centre of the goal. Assisted by Benik Afobe.
2:21Attempt missed. Benik Afobe (Bournemouth) right footed shot from outside the box is too high. Assisted by Charlie Daniels.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
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