However, Bottas felt he could have challenged Hamilton for a front row start.
Emotions spilled over as Hamilton and Mercedes accused Vettel's Ferrari team of effectively cheating their way to victory.
Hamilton, though, drove superbly from then on.
His vehicle wasn't too damaged to take him out of the race but the four-time world champion is now up against it to get on the podium.
Vettel took advantage of the collision involving his long-time title rival, winning by two seconds to give himself an eight-point lead in the drivers' championship as the season approaches its halfway stage. The British GP marks the second time that the reds collided with a Silver Arrows race vehicle.
Raikkonen, who was punished with a 10-second penalty by the stewards, had been quick to admit his fault, telling Sky F1's Martin Brundle: "I locked the wheel so I ended up hitting Lewis in the rear, I oversteered, he spun, my bad.It was my mistake".
John Grant, chairman of the British Racing Drivers' Club, has warned Formula One's owners that while they can take the sport to "Timbuktu", they will struggle to replicate the history and passion at Silverstone. However, he said that none have been forthcoming.
Hamilton's £40million-a-season contract extension, which will rubber-stamp the driver's status as Britain's best-paid sportsman, is due to be announced.
"I don't think he wanted to say any words that he'd regret down there". And that's precisely where I am. They made mistakes but that's what racing is all about. "Only if you are able to admit as a leader that you got it wrong then you can actually remedy the fault in the future". But it has to be long-term. Bottas came home fourth, with Daniel Ricciardo fifth and Nico Hulkenberg sixth.
The team did a great job this weekend and there's been a lot of pressure on for us all. But Vettel, on fresher and softer tyres, had too much.
'It's true that they are very strong around here and we expect them to be very strong tomorrow, but I hope we can be there and I hope we can be close.
Hamilton, who took time out before addressing the crowd and looked drained by his exertions, later said he had no concerns and no problem with Raikkonen.
This gave Bottas the lead of the race and track position over Sebastian Vettel, while Hamilton got ahead of Max Verstappen and Kimi Raikkonen. "So this leaves us with a judgement", the Austrian had said.
He added: "The frustration is the negotiations are taking place in public".
"We have got to keep pushing. But we'll find a solution".
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