"Essex Police takes prejudice-based crime seriously and we want all incidents to be reported. We are working closely with Ryanair and the Spanish authorities on the investigation.
For the past few days, there has been a lot of speculation as to whether the incident would have been dealt with by police or not. This was down to a number of complicating factors, such as the fact that they were still in Barcelona at the time, aboard a stationery aircraft - it is not immediately obvious in this situation which country's laws apply.
Now, it's clear that British police will deal with the situation, and they have appealed for further information around what happened that day.
"We would encourage anyone with information to contact us on 101. You can also contact Crimestoppers 100% anonymously on 0800 555 111."
The man who filmed the video, David Lawrence, told HuffPost that the altercation took place before a flight took off from Barcelona to Stansted, near London, on Thursday.
Labour MP and shadow transport minister Karl Turner was among those on Twitter who criticised the airline for not removing the man from the flight.
The woman, aged 77, is part of the Windrush generation of post-war immigrants to the UK. She had been on holiday to help cope with the death of her husband, her daughter said. This was the last thing she needed on her way home - an unprovoked racial attack from a stranger.
"In a few weeks, it’ll be one year since my dad died and I took my mum away for a few days’ break. My parents were married for over 50 years," she told HuffPost, which agreed to refer to the woman only as Mrs Gayle.
"She’s been feeling really down and depressed, so I thought the trip would raise her spirits.
"The underlying reason behind the man’s abusive behavior comes down to the fact that my mum is a black woman and he didn’t want her sitting next to him — he says it in the video."
She said her mum felt "upset and very stressed about this situation". I'm not surprised - this is a horrible situation for anyone to be in. Personally, I think the others passengers on the plane should have done more to intervene. What would you have done in this situation, folks?