Consider two hyperplanes. The ﬁrst has a normal vector given by

β1 and a distance 3 from the origin. The second hyperplane is described by the normal β2 and distance 3 from the origin. Describe the surface that contains all (and only) the points that lie on both hyperplanes.

β1 = [ 2/3 , 1/3 , 2/3 ]

β2 = [4/5, 1.732/5,1.732/5]