Consider the planes $1=\{$x $+$ y $+$ z $=1\}$ and $2=\{$x $+$ y $=2\}.$

$1.$ Find a vector parallel to the intersection of $1$ and $2.$

$2.$ Find a point in the intersection of both planes of the form P $=(0,$ y$0,$ z$0).$

$3.$ Find a parametrization of the line in which $1$ and $2$ intersect.