Find the equation of the plane containing the line `(y)/(b)+(z)/(c)=1,x=0`, and parallel to the line `(x)/(a)-(z)/(c)1,y=0`.

Show that the equation to the plane containing the line y/b+ z/c =1, x=0, and parallel to the line x/a -z/c=1, y=0is x/a-y/b -z/c+1=0, and if 2d is the shortest, distance between given lines, prove that (1)/(d ^(2)) = (1)/(a ^(2)) + (1)/(b ^(2)) + (1)/(c ^(2)).

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

Find the equation of the plane through the line (x-x_1)/l_1=(y-y_1)/m_1=(z-z_1)/n_1 and parallel to the line (x-alpha)/l_2=(y-beta)/m_2=(z-gamma)/n_2

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is

Find the equation of the plane which contains the line (x-1)/(2)= (y+1)/(-1) = (z-3)/(4) and is perpendicular to the plane x+2y +z= 12 .

Find the Cartesian equation of the plane passing through the points A\ (0,0,0) and b(3,-1,2) and parallel to the line (x-4)/1=(y+3)/(-4)=(z+1)/7

Find the Cartesian equation of the plane passing through the points A\ (0,0,0) and b(3,-1,2) and parallel to the line (x-4)/1=(y+3)/(-4)=(z+1)/7

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 equation of plane containing the line x+ y - z = 0 = 2x – y + z and passing through the point (1, 2, 1)

Find the equation of the plane containing the line 2x+y+z-1=0, x+2y-z=4 and at a distance of 1/sqrt(6) from the point (2,1,-1).