(a) Check product rule (iv) (by calculating each term separately) for the functions
(b) Do the same for product rule (ii).
(ii) ∇(A · B) = A × (∇ × B) + B × (∇ × A) + (A · ∇)B + (B · ∇)A, two for divergences:
(c) Do the same for rule (vi).
(vi) ∇ × (A × B) = (B · ∇)A − (A · ∇)B + A(∇ · B) − B(∇ · A).
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