Question: solve it correctly please. I will rate accordingly with multiple votes. this is my last attempt. show all work step wise and fast handwritten answer

solve it correctly please. I will rate accordingly with multiple votes. this is my last attempt. show all work step wise and fast handwritten answer please.

Q4) Let V be a vector space over F. Let a E F and v E V satisfy the equation av = 0. Prove that either a = 0 or v = 0

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