But how far have they thought it through? The operations risk a lot, will almost certainly not achieve their goals and are already strengthening the enemy.
The Houthis and their Iranian patrons laid a trap and Britain and America have arguably walked, or flown right into it.
The allied aim is to neutralise the threat posed by the Houthi rebel forces against international shipping in the Red Sea, through which a huge amount of oil and goods pass.
Once a rag-tag rebel army, the Houthis are now a fighting force to be reckoned with, dominating much of Yemen and armed and trained by Iran.
They have been attacking ships since the start of Israel’s Gaza offensive in solidarity with their Arab brothers, they say.
The Houthis are hitting the West where it hurts – but to be successful, the British-American airstrikes must entirely neutralise their threat to the Red Sea.
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1:42
Transport minister Huw Merriman says ‘we are not ruling out further strikes against the Houthis’.
While any threat persists, international shipping must avoid the Red Sea because of the punitive cost of insurance which has in some cases risen 20-fold.
That degree of success is unfeasible. Ask the Saudis who failed to deter the Houthis despite eight years of military action supported by Gulf allies, the UK and the US.
But more to the point, the capability the Houthis are using to threaten shipping is mobile and easily hidden in the desert wastes of Yemen.
The airstrikes will certainly degrade the Houthis.
‘Plucky’ Houthis revelling in popularity
But they only need to continue threatening shipping. For that, the Houthis need to hang on to a handful of portable assets and render the Red Sea unviable as a conduit for international shipping.
And despite everything British and American jets threw at them two weeks ago, they’ve managed to keep up the threat, letting loose missiles at shipping regardless.
Meanwhile the Houthis are benefiting from the military action where it counts for them in the arena of Arab public opinion.
While corrupt, decadent autocratic Arab regimes, as millions of Arabs see them, are doing nothing about Gaza, the plucky Houthis are. And they are revelling in it.
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2:35
Meet ‘Timhouthi Chalamet’
As Sky News has shown today, the conflict is making celebrities of the Houthis, like the man they are calling Timhouthi Chalamet, a young photogenic Houthi online influencer.
And the Houthis have successfully drawn Britain and America deeper into the Middle Eastern conflict that’s swirling around Gaza.
Rishi Sunak may claim the airstrikes are “unrelated” to Gaza but that’s frankly nonsense. The Houthis have made this explicitly about Gaza. They began their action over the war there and will end it, most analysts agree, once there is a ceasefire.
The British and Americans are letting loose armaments worth tens of millions on one of the world’s poorest countries to allow Israel to do the same in another equally impoverished area.
That is certainly how this is being seen by hundreds of millions.
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None of that is any good for either countries’ standing in the Arab world and beyond. It is a PR disaster for Britain and America and a huge boost for the Houthis and by association their Iranian patrons.
The airstrikes may be blowing up bunkers and weapons stockpiles or rearranging sand in the desert but in the battle for hearts and minds across the Middle East, they are handing a victory to Iran and its allies.
And they are almost certainly not going to make the Red Sea a viable international trade route again, not until Israel ends its offensive in Gaza.
“Super high-IQ revolutionaries” who are willing to work 80+ hours a week are being urged to join Elon Musk’s new cost-cutting department in Donald Trump’s incoming US government.
The X and Tesla owner will co-lead the Department Of Government Efficiency (DOGE) with former Republican presidential candidate Vivek Ramaswamy.
In a reply to an interested party, Mr Musk suggested the lucky applicants would be working for free.
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“Indeed, this will be tedious work, make lost of enemies & compensation is zero,” the world’s richest man wrote.
“What a great deal!”
When announcing the new department, President-elect Donald Trump said Mr Musk and Mr Ramaswamy “will pave the way for my administration to dismantle government bureaucracy, slash excess regulations, cut wasteful expenditures, and restructure federal agencies”.
Mr Musk has previously made clear his desire to see cuts to “government waste” and in a post on his X platform suggested he could axe as many as three-quarters of the more than 400 federal departments in the US, writing: “99 is enough.”
At least 10 people have been killed after a fire broke out at a retirement home in northern Spain in the early hours of this morning, officials have said.
A further two people were seriously injured in the blaze at the residence in the town of Villafranca de Ebro in Zaragoza, according to the Spanish news website Diario Sur.
They remain in a critical condition, while several others received treatment for smoke inhalation.
Firefighters were alerted to the blaze at the residence – the Jardines de Villafranca – at 5am (4am UK time) on Friday.
Those who were killed in the fire died from smoke inhalation, Spanish newspaper Heraldo reported.
At least 10 people have been killed after a fire broke out at a retirement home in northern Spain in the early hours of this morning, officials have said.
A further two people were seriously injured in the blaze at the residence in the town of Villafranca de Ebro in Zaragoza, according to the Spanish news website Diario Sur.
They remain in a critical condition, while several others received treatment for smoke inhalation.
Firefighters were alerted to the blaze at the residence – the Jardines de Villafranca – at 5am (4am UK time) on Friday.
Those who were killed in the fire died from smoke inhalation, Spanish newspaper Heraldo reported.