If the planes `y=az+cx, x=cy+bz+z=bx+ay` meet in a line show that the line of intersection of these planes is ` x/sqrt(1-a^2)=y/sqrt(1-b^2)=z/sqrt(1-c^2)`

A symmetrical form of the line of intersection of the planes x=ay+b and z=cy+d is

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the angle between the plane x+y-2z+5=0 and the line whose direction cosines are 1/sqrt(6),2/sqrt(6),1/sqrt(6) .

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

An agle between the plane, x + y+ z =5 andthe line of intersection of the planes, 3x + 4y + z -1=0 and 5x +8y + 2z+ 14=0, is :

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .