Prove that the three planes `2x + y -4z - 17= 0, 3x + 2y -2z-25 = 0, 2x-4y + 3z + 25=0` intersect at a point and find its co-ordinates.

The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y-5z + 4 = 0

Which one of following is correct ? The three planes 2x+3y-z-2=0, 3x+3y+z-4=0,x-y+2z-5=0 intersect

Prove that the line of section of the planes 2x-y+z=4 and 5x+7y+2z=0 meets the plane 3x+4y-2z+3=0 in a single point. Find the cooridnates of that point.

Are the planes x+y-2z+4=0 and 3x+3y-6z+5=0 intersecting

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

Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0 .