Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a divergence free vector field. (5x + 7y, 8x + 5y, 0) = + where the first vector in the sum is curl free and the second is divergence free. (For this problem, enter your vectors with angle-bracket notation: < a, b, c >, not in i jk-notation.)

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