Let `P_(1) : 2x + y + z + 1 = 0`
`P_(2) : 2x - y + z + 3 = 0` and `P_(3) : 2x + 3y + z + 5 = 0` be three planes, then the distance of the line of intersection of planes `P_(1) = 0` and `P_(2) = 0` from the plane `P_(3) = 0` is

Let P_(1)=x+y+z+1=0, P_(2)=x-y+2z+1=0,P_(3)=3x+y+4z+7=0 be three planes. Find the distance of line of intersection of planes P_(1)=0 and P_(2) =0 from the plane P_(3) =0.

P_(1) : x + 3y - z = 0 and P_(2) , y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) Equation of P_(3) is

P_(1) : x + 3y - z = 0 and P_(2) : y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) __________ is a point on P_(3) .

The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

P_(1) : x + 3y - z = 0 and P_(2) : y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) The angle between P_(1) and P_(2) is ________.

Let P_(1):x-2y+3z=5 and P_(2):2x-3y+z+4=0 be two planes. The equation of the plane perpendicular to the line of intersection to the line of intersection of P_(1)=0 and P_(2)= and passing through (1,1,1) is

P_(1) : x + 3y - z = 0 and P_(2) : y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) Distance of P_(3) from origin is _______ units.

P_(1) : x + 3y - z = 0 and P_(2) , y + 2z = 0 are two intersecting planes P_(3) is a plane passing through the point (2,1,-1) and through the line of intersection of P_(1) and P_(2) Equation of plane parallel of P_(3) and passing through (1,2,3) is __________ .

Let two planes p _(1): 2x -y + z =2 and p _(2) : x + 2y - z=3 are given : equation of the plane through the intersection of p _(1) and p_(2) and the point (3,2,1) is :