Use the Levi-Civita symbol to prove that. (a) (f g) = f g

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Use the Levi-Civita symbol to prove that.

(a) ∇ · (f g) = f ∇ · g + g · ∇f.

(b) ∇ ×(f g) = f ∇ ×g − g×∇f.

(c) ∇ ×(g × r) = 2g + r ∂g/∂r − r(∇ · g).

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