- #1
jmwilli25
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Homework Statement
Let [tex]\vec{A}(\vec{r})[/tex]and [tex]\vec{B}(\vec{r})[/tex] be vector fields. Show that
Homework Equations
[tex]\vec{\nabla}\bullet(\vec{A}\vec{B})=(\vec{A}\bullet\vec{\nabla})\vec{B}+\vec{B}(\vec{\nabla}\bullet\vec{A})[/tex]
This is EXACTLY how it is written in Ch 3 Problem 2 of Schwinger "Classical Electrodynamics"
The Attempt at a Solution
The only thing I can think of doing is starting from the right hand side and trying to get back to right. This is because I have never seen the left side written like that.
[tex](A_{j}\partial_{j})_{i}B_{i}+B_{i}(\partial_{j}A_{j})_{i}[/tex]
and I don't know where to go from there. I have scoured Google and Wolfram but I was unable to find any help.
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