a = 0 (slider from 0 to 1, step 0.01)
A = (8, 3)
B = (10, 7)
u = Vector(A, B)
C = (5, 4)
D = (3, 6)
v = Vector(C, D)
f = Segment(C, B)
g = Line(C, B)
E: ((5 * (1 - a)) + (10 * a), (4 * (1 - a)) + (7 * a))
E' = Translate(E, v)
w_{1} = Vector(E, E')
w = Vector(A, E')