finding equation of plane

find equation of the plane through points (0,1,1),(1,0,1) and (1,1,0).

So I'm going to take the cross product of 2 vectors to find the normal. How do I know which two points to use to make the vectors? e.g. <1-0,0-1,1-1>, <1-1,1-0,0-1>, <1-0,1-1,0-1> Depending on what combination I use I will get a differnt normal vector, is this because one normal is on one side of the plane and the other is on the opposite side? If I use differnt normals the equation of the plane will be differnt. Does this mean that the plane can be traced out in two differnt directions or something?