Find the equation of the line passing through `(1,2,3)` and parallel to the planes `x-y+2z -5 =0 and 3x +y + z - 6 =0`.

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

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

The equation of the plane passing through (1,-3,-2) and perpendicular to the planes x+2y + 3z = 5 and 3x + 3y+2z = 8 is .............

Find the equation of the plane passing through the intersection of the planes 2x - 3y + z-4 = O and x-y + 2 + 1 = 0 and perpendicular to the plane x + 2y - 3z + 6 = 0.

Find the equation of the plane passing through the intersection of the planes x + 2y + 3z-4 = 0 and 2x + y - Z+ 5 = 0 and perpendicular to the plane 5x + 3y + 6z + 8 = 0.

What is the equation of line passing through (1, 2, 3) and perpendicular to 3x+4y -5z=6 ?

Find the equation of the plane passing through the line of intersection of the planes 2x + 3y - 2 + 1 = 0 and x + y - 22 + 3 = 0 and perpendicular to the plane 3x – y – 2z - 4 = 0.

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x + y + z- 2 = 0 and the point (2, 2, 1).