3. The capital letter N is determined by cight points (or vertices). N vertex 1 2 3 6 7 8 1 2 0.5 .5 6 6 5.5 5.5 0 0 0 6.42 0 8 8 1.58 8 (a) Use Sage to define eight vectors a = (0,0), b = (-5,0), h (0,8) given in the table. Then plot the letter N. sage: a=vector([0,0]); b=vector([.5,0]); c=vector([.5,6.42]); so on sage: N = polygon((a,b,c,d,e,f,g,h]); N 1.25 (b) Apply a shear in the x-direction with A Use Sage to define A and plot sage: ItalicN = polygon([A*a, A*b,A*c,A*d,A*e,A*f,A*g, A*h), color = 'red'); ItalicN .75 0 (c) The italic N looks a bit too wide. We apply a compression in the x-direction with S 0 Define S and plot sage: ScaledItalicN = polygon((S*A*a,S*A*b,S*A*c,S*A*d,S*A*e,S*A*f,S*A*g,S*A*h), color = 'green'); Scaled Italien [52] =