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Let F=(ax+5y, bx+2y+z, yz). Find constants a, b such that F has both a vector potential and a scalar potential, and input as your answer

Let F=(ax+5y, bx+2y+z, yz). Find constants a, b such that F has both a vector potential and a scalar potential, and input as your answer the sum a+b. The correct answer is 4. Could you please provide detailed solution for this

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