$[1$ point$]$ Given a point P$=(5,9,1),$ defined in homogeneous representation in the original frame $($x$,$ y$,$ z$,$ P$0).$ Also given a vector g$=(3,2,1)$ defined in homogenous representation in the new frame $($u$,$v$,$n$,$Q$0).$ A new frame $($u$,$ v$,$ n$,$ Q$0)$ is defined in terms of the original frame as following: u$=(-2,0,-3,0)$ v$=(5,1,9,0)$ n$=(1,0,1,0)$ Q$0=(1,1,1,1)$ Identify point P representation in the new frame $($u$,$ v$,$ n$,$ Q$0)$ and the vector g representation in the original frame $($x$,$ y$,$ z$,$ P$0).$