Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I am a engineering student and I am currently upgrading my maths level on my own to follow physics courses. While reading a book, I came across a vector differential identity that I don't manage to prove using index notation.

The identity is the following:

[tex]

\nabla(\vec{A}\cdot\vec{B}) =

\vec{A} \times (\nabla \times \vec{B}) + (\vec{A} \cdot \nabla)\vec{B}

+ \vec{B} \times (\nabla \times \vec{A}) + (\vec{B} \cdot \nabla)\vec{A}

[/tex]

Could you please give me a hint on how to prove this ?

Thank you for your time.

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# Vector differential identity proof

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