# Vector integration by parts

## Main Question or Discussion Point

I was trying to derive the following results from 4B.8 as suggested by using the vector triple product identity but have been unsuccessful in deriving $\vec{L_R}$ and $\vec{S_R}$ in the end. After using the identity and finding the integrand to be $\vec{E}(\vec{r}\cdot\vec{B}) - \vec{B} (\vec{r} \cdot \vec{E})$ what would be the next best step to take to re-derive the 4B.10 and 4B.11?

After using the identity and finding the integrand to be $\vec{E}(\vec{r}\cdot\vec{B}) - \vec{B} (\vec{r} \cdot \vec{E})$
Okay. I've looked into that identity as well now, and after using it, still don't quite get any further since it reduces back to the case of the integrand equalling $\vec{E}(\vec{r}\cdot\vec{B}) - \vec{B} (\vec{r} \cdot \vec{E})$.