The correct answer is A. revenge.
Hamlet wanted to avenge the death of his father, who was treacherously killed by his mother’s lover. Revenge is the act of inflicting hurt or harm on someone for an injury or wrong they have done to you. It is often motivated by a desire to get even or to make the person who wronged you suffer as much as you have suffered.
Hamlet’s desire for revenge is understandable, given the circumstances of his father’s death. However, it is also dangerous, as it can lead to a cycle of violence that is difficult to break. In the end, Hamlet’s revenge does not bring him peace or closure, but only more pain and suffering.
The other options are incorrect because they do not accurately reflect Hamlet’s motivations. Option B, avenge, is similar to revenge, but it implies that Hamlet is acting on behalf of someone else, such as his father’s ghost. Option C, forgive, is the opposite of revenge, and it implies that Hamlet is willing to let go of his anger and resentment. Option D, vindicate, means to clear someone’s name or reputation, and it does not accurately reflect Hamlet’s desire to punish his father’s killer.