Answer
$\vec{L'}=\vec{L}- \vec{h}\times\vec{p}$
Work Step by Step
We know the following equation:
$\vec{L}=\vec{r}\times\vec{p}$
Thus, we can find:
$\vec{L'}=\vec{L}-\Delta \vec{L} $
We know that the value of $\vec{r}$ in the equation $\vec{L}=\vec{r}\times\vec{p}$ is $\vec{h}$, so it follows:
$\vec{L'}=\vec{L}- \vec{h}\times\vec{p}$
