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Suppose you are given the following forms: 1. f(x, y, z) is a 0-form on R3. 2. w = Fida + Fady + Fadz is

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Suppose you are given the following forms: 1. f(x, y, z) is a 0-form on R3. 2. w = Fida + Fady + Fadz is a 1-form on R3. 3. n = Godady + Gidydz + Godzdx is a 2-form on R3. The differential operator V a a Or' dy' dz (a) Compute df and compare it with Vf. (b) Compute dw and compare it with V x (F1, F2, F3). (c) Compute dn and compare it with V . (G1, G2, G3)

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