Consider the planes $2$x$+5$y$+5$z$=1$ and $2$x$+5$z$=0.$

$($A$)$ Find the unique point P on the y$-$axis which is on both planes. $($

$,,)$

$($B$)$ Find a unit vector u with positive first coordinate that is parallel to both planes.

i $+$ j $+$ k

$($C$)$ Use parts $($A$)$ and $($B$)$ to find a vector equation for the line of intersection of the two planes,