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

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

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

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

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

The vector equation of the line passing through the point (-1,5,4) and perpendicular to the plane z=0 is

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

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

(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.

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