9000117402

Determine whether the following planes $\rho$ and $\sigma$ are parallel, identical or intersecting. $$\begin{array}{rlr}\rho :& x=2+u-v,& \\ & y=1+2u+4v,\\ & z=-1+3u+3v;u,v\in \mathbb{R},\end{array}\begin{array}{rlr}\sigma :& x=2+r-s,& \\ & y=7+2r+4s,\\ & z=5+3r+3s;s,t\in \mathbb{R}.\end{array}$$