A Jordanian government spokesman has said the “evil” of Islamic State “can and should be defeated”.
The remarks came amid condemnation from around the Arab world over the killing of a Jordanian pilot by Islamic State.
King Abdullah II cut short a trip to the US after IS posted a video appearing to show pilot Moaz al-Kasasbeh being burned alive.
Jordan executed two convicts, including failed female suicide bomber Sajida al-Rishawi, in response.
Lt Kasasbeh was seized after crashing during a bombing mission by the US-led coalition over Syria in December.
Jordan had sought to secure Lt Kasasbeh’s release in a swap involving Rishawi, but IS is believed to have killed him a month ago.
The BBC’s Paul Adams in Amman says talk of an exchange appears to have been a IS tactic to string Jordan along and foster doubt among Jordanians over its role in the US-led coalition.
Speaking before he left the US, King Abdullah hailed Lt Kasasbeh as a hero, saying Jordan must “stand united” in the face of hardship.
The king was greeted by a crowd of several thousand people at Jordan’s main airport, with many holding up pictures of the monarch, the pilot and the country’s flag in a show of support.
He then held a meeting with security chiefs, after which he said that government spokesman Mohamed al-Momani said a collaborative effort was needed between members of the US-led coalition to “undermine, degrade and eventually finish [Islamic State]”.
“This evil can and should be defeated,” he said, adding that Jordan was “more determined than ever” to fight the militant group.
The Jordanian military vowed an “earth-shattering” response after IS posted a video online appearing to show the pilot in a cage engulfed in flames.
Rishawi and al-Qaeda operative Ziyad Karboli – both Iraqi nationals – were hanged at 04:00 local time (02:00 GMT) on Wednesday, just hours after the video emerged.
Rishawi had been on death row for her role in attacks in Jordan’s capital, Amman, which killed 60 people in 2005. Karboli was convicted in 2008 of killing a Jordanian national.
IS militants had sought Rishawi’s release as part of a deal to free captive Japanese journalist Kenji Goto, but later killed him.
Safi al-Kasasbeh, the pilot’s father, called for the Jordanian government to do “more than just executing prisoners”.
“I call for [IS] to be eliminated completely,” he told reporters on Wednesday.
An official Saudi Arabian source quoted by the country’s SPA news agency described the killing as a “barbaric, cowardly act, which is not sanctioned by the principles of tolerant Islam… and cannot be perpetrated except by the bitterest enemies of Islam”.
Arab League secretary general Nabil al-Arabi said the killing was “brutal” and “beyond belief”, adding that IS was “a menace which should be stopped”.
Sheikh Ahmed al-Tayeb, the Grand Imam of al-Azhar University in Egypt and one of the leading authorities in Sunni Islam condemned the killing, saying the burning to death of Lt Kasasbeh violated Islam’s prohibition on the mutilation of bodies.
King Abdullah and US President Barack Obama reaffirmed their joint resolve to destroy the group at a meeting in the White House before the monarch left for the Middle East.
Lt Kasasbeh is the first member of the US-led coalition to be killed by IS.
Jordan is one of four Arab states to have taken part in the anti-IS air strikes in Syria. The other countries are Saudi Arabia, the United Arab Emirates and Qatar.
The New York Times reported on Wednesday that the UAE suspended its involvement in the strikes after Lt Kasasbeh was captured in December.
It cited US officials as saying the UAE wants the Pentagon to improve its search-and-rescue efforts in Iraq before it resumes bombing missions.
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