Find an equation or the line that passes through the point `P(2,\ 3,\ 1)` and is parallel to the line of intersection o the planes `x+2y-3z=4\ a n d\ x-2y+z=0` .

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

Find the equation of the line passing through the point (4,-14,4) and intersecting the line of intersection of the planes : planes :3x+2y-z=5 and x-2y-27=-1 at right angles.

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

The direation ratios of the normal to the plane passing through the point (2 ,1 ,0 ) and the line of intersection of the planes x-2y+3z=4andx-y+z=3 is

Find an equation for the plane through P_(0)=(1, 0, 1) and passing through the line of intersection of the planes x +y - 2z = 1 and x + 3y - z = 4 .

find the equation of a plane passing through the points (2,-1,0) and (3,-4,5) and parallel to the line 2x=3y=4z

Find the equation of the line passing through the point P(4,6,2) and the point of intersection of the line (x-1)/(3)=(y)/(2)=(z+1)/(7) and the plane x+y-z=8 .