Vader's alter-ego is Anakin Skywalker. Then the Emperor told Vader that Luke is the off-spring of Anakin Skywalker
Well, in The Empire Strikes Back, in the battle of hoth, when Vader arrives at the ice planet, he says "The rebels are here. And I believe Skywalker is with them." He doesn't make the connection that he is Anakin Skywalker. He does think, however, that the one who took down the Death Star in A New Hope was special and he felt the force in him. After the battle of hoth, Vader spoke with the Emperor, and he tells Vader that Luke is the son of Anakin Skywalker. The Emperor said that he must be destroyed. I believe Vader was trying to save his son in saying "He could be a powerful ally." Then he offered Luke a rule as father and son, and Luke refused. Vader didn't find that Leia was his daughter until he felt the connection with her and Luke in the Emperor's throne room in ROTJ.
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As far as I can tell, he knew that Luke was Anakin's son because of the relationship Anakin had with Padme. When Padme becomes pregnant, it is only a matter of time before Sidious figures it out. Also, when he finds out that Luke's last name is Skywalker, that was another sign. Not to mention the fact that he can use the "force" to sense the connection between them.
As explained in Episode 3: Revenge of the Sith, before becoming Darth Vader, Anakin Skywalker was told by his secret wide Padme that she was pregnant.
No, actually. He knew he had a daughter, but he didn't know it was Leia. Realize how when he was talking to Luke, he called her "your sister".
Not at first. He didn't know until the Emperor told him in "The Empire Strikes Back".
The Emperor told him in "The Empire Strikes Back," which takes place 3 years after "A New Hope"
It could be argued both ways. But directly he did not. He convinced his father to come back to the good side. When he did Darth Vader killed the emperer. That caused Darth Vader to die because it was only through the emperer's power that he was being kept alive. He was injuring by lava in his fight against obi whan. So when he killed the emperer Darth Vader died. So technically nobody killed Darth Vader he just died. However it also could be argued Luke is to blame. If he had not convinced Darth Vader to come back to the light side of the force he would not have died.
Luke Skywalker!
Darth Vader: Luke, help me take this mask off.Luke: But you'll die.Darth Vader: Nothing can stop that now. Just for once, let me look on you with my own eyes."You were right. You were right about me. Tell your sister ... you were right."
I believe George Washington is more famous because he developed our nation, Darth Vader betrayed his own son.
in the end of star wars episode 6 nobody really kills Darth Vader/anakin skywalker but when he is throwing the emperor off the thing he gets shocked by his sith lightning and it keeps running trough his body because he is mostly made of metal so that's how he dies.In a way Darth Vader actually kills Anakin in Revenge of the Sith when he turns to the Dark Side of the Force, as hinted at by Obi-Wan Kenobi in Return of the Jedi.Anakin wasn't killed in the strictest definition. He redeemed himself when he saved his son Luke from being electrocuted to death by the Emperor, but doing so caused the lightning to compromise Vader's suit, which was pretty much a life support system. So Anakin's death was more of a sacrifice