Prove that the planes `x - z - 1 = 0, x + y - 2z - 3 = 0 and x - 2y + z - 3 = 0` form a triangular prism.

Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday+z-2=0 form a triangular prism must be

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

The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + 2z - 2 and x = y = z , is

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

The number of solutions of equations x + y - z=0, 3x - y - z= 0,x - 3y + z = 0 is

The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = 2x + 3y + 7z - k are coplanar then k equals

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

The equation of the line which intersect each of the two lines 2x+y-1 =0 =x-2y+3z and 3x -y+z+2 = 0 = 4x + 5y - 2z-3 = 0 and is parallel to (x)/(1)=(y)/(2)=(z)/(3) 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| .

The plane containing the line x - 2y + 3z + 2 = 0 = 2x + 3y - z + 1 and parallel to x/1 = y/1 = z/1 contains the point: