∇ (A · B) = (A · ∇) B + (B · ∇) A + A × (∇ × B) + B × (∇ × A)
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First, let's expand the left side of the equation: ∇ (A · B) Using the product rule for the gradient, we have: ∇ (A · B) = (∇A) · B + A · (∇B) Now, let's expand the right side of the equation: (A · ∇) B + (B · ∇) A + A × (∇ × B) + B × (∇ × A) Using the Show more…
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