Find the equation of the plane passing through the line `(x-1)/5=(y+2)/6=(z-3)/4` and point `(4,3,7)dot`

Find the equation of the plane passing through the straight line (x-1)/2=(y+2)/(-3)=z/5 and perpendicular to the plane x-y+z+2=0.

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the plane passing through the points (1, 1,-1), (2, 3, 5) and (-1,4,-5).

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Find the equation of the plane passing through the points (3, 4, 2), (2, -2, -1) and (7, 0, 1).

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5.