Now, we want to express F in terms of f(x, y, z). Let's assume F = (P, Q, R), where P, Q, and R are the components of F. Since F is a constant vector, we can write:
P = Af_x + Bf_y + Cf_z
Q = Af_x + Bf_y + Cf_z
R = Af_x + Bf_y + Cf_z
where A, B, and C are
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