Hector had killed Achilles' friend Patroclus.
Patroclus is the reason why Achilles desired to kill Hector.
because Achilles was a huge powerhouse for the Greeks as he was almost invincible also Achilles-killed his closest and most important brother Hector, whose last words were that Paris would kill Achilles
Hector fought Achilles in the Trojan War because Achilles killed Hector's brother, Patroclus, and Hector sought revenge for his brother's death.
It is believed that Hector died in a duel with Achilles, in the tenth year of the Trojan War. Achilles first stabbed Hector in the shoulder. Hector fell to his knees and Achilles went for his final stab in Hector's stomach. (This was all after a long fight between them that went for some time). After Hector had died, Achilles tied Hector's feet to Achilles' carriage and ridded off with Hector's dead body dragging behind him.
Hector
He thought that he was Achilles.
Achilles killed Hector mainly to avenge the death of his friend, Patrokolos. Also, it made sense for him to kill Hector because they both were the best fighters on their respective sides. If Achilles killed Hector, he would gain a lot of honor.
Hector was wearing the armor of Achilles (taken from the dead Patroclus) so Achilles knew that it was weak at the neck. Using a spear, he stabbed Hector in the neck.
Hector wants to propose a deal to Achilles that if he kills Achilles, he should return his body to the Greeks for a proper burial, and if Achilles kills Hector, he should do the same for him. Achilles, fueled by rage and a desire for revenge over the death of Patroclus, rejects this offer, refusing to consider any terms of compromise or respect for Hector's body. Instead, he vows to kill Hector and leave his body for the dogs, demonstrating his disdain and desire for vengeance.
sword
Tied his body to a chariot and drag it in circles round the city of Troy.
The death of Achilles, as predicted by Hector with his dying breath, was brought about by Paris with an arrow to the heel(Sometime, after the death of Hector).
Achilles fought hector out side of the gates of Troy. Both talked about what would happen if either of them killed the other. Achilles drew first blood by throwing his spear at hector. Achilles misses hector and hector throws his spear at Achilles and he blocks the spear with his shield. This is what myth tells us Athena goddess of wisdom takes Achilles spear and throws it back to Achilles and hector does not see this. But hector had no reserved spear but thinks his one of his brothers is by his side. Athena posses as one of hectors brothers and tells hector that he will help hector fight Achilles. Hector is tricked by Athena and then has no choice. Hector charges for Achilles and Achilles does the same. Achilles has a longer weapon and so he thrashes his spear into hectors windpipe. Hector still has some few moments left and then ask Achilles to give his body back to his loved ones at troy so he may be properly buried. Achilles refuses and hectors last words is the Paris t who was the one who started the entire war will kill Achilles at the gates of troy where hector is being killed now. In all honest opinion I think that Achilles didn't have help from a goddess and that he had a javelin and a spear but hector only had a javelin and did not see Achilles spear. The he rest of the fight I think happened.
it means that although Achilles is not present, his presence is still felt through his influence on those who are. Achilles makes this statement to Hector after mortally wounding him to avenge his friend, Patroclus, whom Hector had killed while Patroclus wore Achilles armor. Achilles was not present in battle when Hector killed his friend, yet Achilles influenced the battle and Hector should have known that Achilles would avenge the act and kill Hector. Save
Athena might want to fool Hector so that Achilles can strike and she wants the Greek's to win the war. She does this by pretending to be Hector's brother which gives Achilles time to strike.
In the epic poem "The Iliad" by Homer, Achilles kills Hector during the Trojan War. Achilles seeks vengeance for the death of his close companion Patroclus, which leads to a fierce battle where he ultimately defeats Hector in single combat.
If he wasn't killed Achilles wouldn't have wanted to kill Hector.