I looked up the formula for [tex]\nabla \times (\vec{A} \times \vec{B})[/tex]:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\nabla \times (\vec{A} \times \vec{B}) = \vec{A}(\nabla \cdot \vec{B}) - \vec{B}(\nabla \cdot \vec{A}) + (\vec{B} \cdot \nabla)\vec{A} - (\vec{A} \cdot \nabla)\vec{B}[/tex]

What does a vector followed by a del mean? Mathworld says that in the context of a unit vector it's the directional derivative. It's unclear to me how this works because then you have a vector times a vector for the last two terms. Can someone please clarify how this works?

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# Vector product

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