Question: Give a formula F = M(x, y)i + N(x, y)j for the vector field in the plane that has the properties that F = 0

Give a formula F = M(x, y)i + N(x, y)j for the vector field in the plane that has the properties that F = 0 at (0, 0) and that at any other point (a, b), F is tangent to the circle x² + y² = a² + b² and points in the clockwise direction with magnitude |F| = √a² + b².

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