Reduce the equation of line `x-y+2z=5a d n3x+y+z=6` in symmetrical form. Or Find the line of intersection of planes `x-y+2z=5a n d3x+y+z=6.`

Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find the direction of the line.

The equation of the line x+y+z-1=0 , 4x+y-2z+2=0 written in the symmetrical form is

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| .

Find the angle between the two planes 3x - 6y + 2z =7 and 2x + 2y – 2z = 5.

Find the acute angle between the planes 2x-3y+5z=1 and x-y-z=7 .

Find the equation of the plane passing thruogh the line of intersection of the planes x +2y + 3z = 2 and x - y + z= 3 , and at a distance (2)/(sqrt(3)) from point (3,1,-1).

Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

Find the equation of the plane containing the line of intersection of the planes x + y + z - 6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1,1,1)

The planes 2x -y+4z=5 and 5x-2.5y+10z=6 are

Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y=z+6=0.