3. (10 points ) A robust method to find the normal to any polygon with N vertices is called the Newell's method. It computes the components of the normal n according to the following formulas: n-1 nx = (yi - Yi+1)(zi+zi+1) i=0 n-1 ny = (zi - Zi+1)(x; + Xi+1) i=0 n-1 nz = (xi - Xi+1)(yi + Yi+1) i=0 a) Apply the Newell's method to a. of Question 1, and see whether you get the same answer. b) Find the normal to the polygon (0, 0, 3), (3, 0, 0), (2, 2, -1), (-1, 5, -1), (1, 1, 1) 3. (10 points ) A robust method to find the normal to any polygon with N vertices is called the Newell's method. It computes the components of the normal n according to the following formulas: n-1 nx = (yi - Yi+1)(zi+zi+1) i=0 n-1 ny = (zi - Zi+1)(x; + Xi+1) i=0 n-1 nz = (xi - Xi+1)(yi + Yi+1) i=0 a) Apply the Newell's method to a. of Question 1, and see whether you get the same answer. b) Find the normal to the polygon (0, 0, 3), (3, 0, 0), (2, 2, -1), (-1, 5, -1), (1, 1, 1)