Write, in Maple or Mathematica language, a function (or procedure) rotation, with parameters $U$ and $V$, returning:
\begin{itemize}
\item False if $U$ and $V$ do not have the same norm;
\item a matrix $R$ of $S O ( 3 )$ such that $R U = V$ if $U$ and $V$ have the same norm.
\end{itemize}