Yes, for he became the Grand Master of the New Jedi Order he constructed some time after Return of the Jedi
Luke. Search your feelings, you know it to be true.
Yes
In Return of the Jedi, the true Anakin Skywalker came back after realizing Luke's words and upon seeing his son electrocuted by Palpatine. So he sacrificed himself by throwing Palpatine over a power generator ledge, but the Sith lightning compromised Anakin/Vader's suit and it was the only thing keeping him alive.
Luke is Anakin's son given birth before the death of his mother. People think that because Anakin went to the Dark Side as Darth Vader. Padme died of a broken heart because Anakin, her true love, went to the Dark Side. What a sad ending. No he is not. They are family members. Luke and Leia are the twins. Darth Vader is their father and only living parent but he died in Ruturn of the Jedi. I thought Anakin killed Padme.
Between the two movies, Luke takes on a more leader like role as he realizes that he is one of the Rebellion's most skilled leaders. He takes life more seriously and he begins to develop himself as a Jedi.
He first appears under the guise of Darth Vader in the original film trilogy; Star Wars: Episode VI: Return of the Jedi and the subsequent prequel films present Anakin Skywalker, a conflicted Jedi Knight who falls to and returns from the dark side of the Force. Before his fall to the dark side, Vader fathers both Luke Skywalker and Princess Leia Organa; Luke ultimately redeems his father in Return of the Jedi, and Anakin sacrifices himself to save his son.
They are the same person.
Because he did not want Luke to follow the same path as his father. His father... was seduced by the Dark Side of the Force. He ceased to be Anakin Skywalker and "became" Darth Vader. When that happened, the good man who was his father was destroyed. So what Obi-Wan told him was true... "from a certain point of view."
As far as we know today it is just film nonsense.
No. Luke never turned to the dark side. Only his father did. Of course, that's only true if you completely ignore the extended universe comics and novels that not only feature Luke turning to the dark side once a resurrected Palpatine appears, but had him breaking free and becoming a full Jedi master by way of the experience.
Anakin Skywalker In "Star Wars"
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