Extra credit (turn in separately! ): find an equation for the plane that passes through the point (1; 2; 3) and cuts o the least volume in the rst octant (i. e., the part of r3 where all coordinates are non-negative). note: the volume of a pyramid is one third times the area of the base times the height. hint: it may be easiest to use the points of intersection of the plane with the three axes as the three variables. that is, assume the plane intersects the three axes at (a; 0; 0); (0; b; 0); (0; 0; c). 1