Flowers have been left near the site in south London where a British soldier was hacked to death Wednesday.
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Reuters adds that Cameron also said, "this country will be absolutely resolute in its stand against violent extremism and terror."
We're also learning more about the horrific incident near an army barracks in Woolwich and the heroism of some witnesses.
It began, authorities say, when the attackers apparently used a car to run down the soldier. Witnesses say the two men then got out of the vehicle and began stabbing and cutting the victim. When they finished the attack, the men then stayed nearby and started telling bystanders that they were avenging the deaths of Muslims killed by British soldiers.
The Telegraph interviewed Ingrid Loyau-Kennett, a 48-year-old Cub Scout leader and mother-of-two who "put her own life on the line by trying to persuade the soldier's murderers to hand over their weapons."
She tells the Telegraph that she was in a bus that passed by the scene and got off because she thought the soldier had been injured in a car accident and might need her help.
"And then when I went up, there was this black guy with a revolver and a kitchen knife," Loyau-Kennett told the newspaper. The man, she says, "had what looked like butcher's tools and he had a little axe, to cut the bones, and two large knives and he said 'move off the body.' "
According to Loyau-Kennett, she told the man that, "right now it is only you versus many people, you are going to lose, what would you like to do?" She says he responded that he would like to stay and fight.
When armed police arrived — 15 to 20 minutes after the attack — they ended up shooting and wounding the two men.
From 'Morning Edition': Philip Reeves speaks with Renee Montagne about the attack
The Telegraph writes that "Mrs. Loyau-Kennett was not the only woman to show extraordinary courage. Others shielded the soldier's body as the killers stood over them. MPs praised the 'extraordinary bravery' of the women."
As we reported Wednesday, there's a considerable amount of video evidence from the scene because the attackers willingly spoke to people who were on the street.
On Morning Edition, NPR's Philip Reeves told host Renee Montagne that as police investigate the attack, they're anxious to find out if there's "an organization behind these two guys." Judging from the way the men waited at the scene, Phil added, it appears they didn't care "if they were caught or if they died."
Also Thursday morning, the BBC is reporting that "there were two separate attacks on mosques [overnight] — in Gillingham and Essex. Two men are under arrest."