Problem 1: Consider the hyperplane defined by wx +b = 0 (1) for w, x E RP and b E R. Consider a point y E RP, and consider, y, the projection of y onto the hyperplane defined in Eq. (1). We have that wy + b y = y 1/ 20 | | 2 W. i. Show that wTy + b = 0. ii. Show that min lly - z|1= lly - ill. z s.t. wtz+b=0 (Hint: lly - z|12= 11(y - y) + (y - z) 112.)