Equation of line passing through A(1,0,3), intersecting the line `(x/2=(y-1)/3=(z-2)/1)` and parallel to the plane `x+y+z=2` is

Find the equations of the straight line passing through the point (1,2,3) to intersect the straight line x+1=2(y-2)=z+4 and parallel to the plane x+5y+4z=0.

Equation of the line passing through (1,1,1) and parallel to the plane 2x+3y+z+5=0

Equation of the line passing through (1,1,1) and parallel to the plane 2x+3y+z+5=0

Equation of a line passing through (1,-2,3) and parallel to the plane 2x+3y+z+5=0 is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

Find the equation of the plane through the point (2, -1, -1), parallel to the line (x-1)/1=(y-3)/3=(z-2)/2 and perpendicular to the plane x - 2y - 3z - 4 = 0.