From the book's example, the normal vectors of the planes x+y+z=1 and x-2y+3z=1 are <1,1,1> and <1, -2, 3>. Although the book doesn't mention how it got those normal vectors from the equations, it's rather obvious. But the first homework problem has the plane equation = 0 instead of equal 1. Can I still just pull the coefficients of x, y, z and form a normal vector? i.e. If the equation of the plane is x+z=0, then is the normal vector <1,0,1>?