Hamilton, who won his fourth F1 championship in the Mexico GP, walked away from the crash without injury and will start at the back of the grid on Sunday.
Ricciardo had the third quickest time in the afternoon, and Vettel was just behind in fourth.
As media reports suggest, no person was hurt or injured but many valuables were stolen at Sao Paulo.
Hamilton had the fastest lap in the morning session, clocking 1 minute, 9.202 seconds on the hilly Interlagos circuit.
The "Paradise Papers" revealed that Hamilton was given a refund of more than $4 million after his Bombardier Challenger 605 was imported to the Isle of Man in 2013.
Hakkinen, who won his world titles in 1998 and 1999, is coming to India to promote Johnnie Walker's don't drink and drive initiative.
Hamilton used an Isle of Man company to avoid paying a value-added tax of 3.3 million pounds when he imported the aircraft into England in 2013.
Red Bull's Max Verstappen believes the cars designed by Mercedes have helped Hamilton to win four times.
Vettel will be seen in action in the next Formula One race of 2017, which will take place on November 12.
Massa has 11 wins and 41 podiums from 268 races. He will bid goodbye to home fans at the Brazilian Grand Prix next week at Interlagos.
Liberty Media announced several changes to the engine regulations aimed at cost reduction which has resulted in other strategic issues that were not taken into consideration.
Hamilton feels that someone is always there to take his place and Max Verstappen is the person that creates competition for the Mercedes driver.
The 32-year-old's new expected extension is said to be worth £100m, with his new deal set to be evaluated in the region of £120m.
From 2021, teams will still use the 1.6 Litre, V6 Turbo Hybrid, but - crucially - it will be run at 3,000 rpm higher to increase noise.
Hamilton's 2017 title ties him with Vettel and Alain Prost as four-time winners while Manuel Fangio won five and Schumacher's seven championships still tower over the sport.
Hamilton won his fourth career championship Sunday with his ninth-place finish at the Mexican Grand Prix
Hamilton won his fourth career Formula One championship on Sunday with a ninth-place finish at the Mexican Grand Prix.
Vettel won his 50th career pole position on Saturday and isn't quite ready to concede the title to Hamilton.
Verstappen's lap of 1 minute, 17.113 seconds topped Hamilton by 0.075 seconds at the Autodromo Hermanos Rodriguez circuit.
Anticipating a rowdy Mexico City reception, the Force India drivers insist they came to the race on good terms.
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