How are both Hamlet and Laertes motivated by revenge in Hamlet?
On the most basic level, each of them wants to avenge his father's murder. When Hamlet's father's ghost first tells him that he was murdered, Hamlet is desperate for the details so that he can get to work on his revenge. He says,
Haste me to know 't, that I, with wings as swift
As meditation or the thoughts of love,
May sweep to my revenge. (1.5.35-37)
Hamlet is anxious to hear who has done this terrible thing so that he can swiftly exact his revenge for his father's murder. Later in this scene, he talks about how out of whack everything is in Denmark, and he believes it is his responsibility to "set it right!" (1.5.211).
Much later in the play, after Hamlet mistakenly murders Polonius, believing him to be his murderous uncle, Claudius, hiding behind an arras in his mother's bedroom, Laertes returns, ready to learn the truth of his father's death and punish the responsible party. When the queen tells him to be calm, he says,
That drop of blood that's calm proclaims me
Cries "cuckold" to my...
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