The equation of a line passing through the point (-1, 0, 3) and perpendicular to the plane 4x+ 3y-5z = 12 are:

The equation of the line passing through the point (3, 0, -4) and perpendicular to the plane 2x - 3y + 5z - 7 = 0 is

The equation of a line passing through point (1,2,3) and perpendicular to the plane x+2y-5z+9=0 are

Find the equation of the plane passing through the point (-1, 2, 3) and perpendicular to the planes x - 2y + z = 3 and 4x + 3y - z = 5.

The equation of line passing through the point (2, 3, 4) and perpendicular to plane 2x+3y+z+5=0 is

Find the equation of the plane passing through the point (1, 2, -3) and perpendicular to the planes x + 2y + 3z = 4 and 2x - 3y + 4z = 5.

(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes : 2 x + 3y - 2z = 5 , x + 2y - 3z = 8 . (ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 . (iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0.