Use the visual representation of vectors a and b to show 
how to reach the combination of 

Is there more than one way that would work? 
Why or Why not?

Reaching Your Goal 2

Be sure to record what you have found. 
Sketch it in your notebook and use 
vector component notation or 
matrix notation to show what is happening.

Vector c

Vector d

 9
 6

A = (-6, 2)
B = (-5, 4)
u = Vector(A, B)
C = (-7, 1)
D = (-5, 2)
v = Vector(C, D)
E = (3.34, 3.98)
F = (1.7, 4.14)
G = (2, 4.26)
H = (2.58, 4.4)
I = (3, 4)
J = (2.86, 8.36)
K = (1.2, 7.94)
L = (1.48, 7.94)
M = (2.42, 8.26)
E' = Translate(E, u)
w = Vector(E, E')
F' = Translate(F, u)
a = Vector(F, F')
G' = Translate(G, u)
b = Vector(G, G')
H' = Translate(H, u)
c = Vector(H, H')
I' = Translate(I, u)
d = Vector(I, I')
J' = Translate(J, v)
e = Vector(J, J')
K' = Translate(K, v)
f = Vector(K, K')
L' = Translate(L, v)
g = Vector(L, L')
M' = Translate(M, v)
h = Vector(M, M')
N = (0.44, 10.28)
O = (5.3, 10.34)
P = (5.3, 7.7)
Q = (0.44, 7.68)
poly1, n, o, p, q = Polygon(N, O, P, Q)
N_1 = (0.4, 7.22)
O_1 = (5.26, 7.28)
P_1 = (5.3, 3.28)
Q_1 = (0.42, 3.26)
poly1_1, n_1, o_1, p_1, q_1 = Polygon(N_1, O_1, P_1, Q_1)
R = (13.9, 9.7)
S = (13.68, 9.44)
T = (13.84, 9.18)
U = (15.04, 9.68)
V = (15.22, 9.44)
W = (15.08, 9.16)
Z = (14.18, 8.72)
A_1 = (13.84, 8.72)
i = Segment(Z, A_1)
B_1 = (13.84, 9.88)
j = Segment(A_1, B_1)
C_1 = (14.22, 9.88)
k = Segment(B_1, C_1)
D_1 = (14.4, 10.16)
E_1 = (14.4, 7.94)
l = Line(D_1, E_1)
F_1 = Mirror(A_1, l)
G_1 = Mirror(B_1, l)
j' = Segment(F_1, G_1)
Z' = Mirror(Z, l)
H_1 = Mirror(A_1, l)
i' = Segment(Z', H_1)
I_1 = Mirror(B_1, l)
J_1 = Mirror(C_1, l)
k' = Segment(I_1, J_1)
A_2 = (-5.64, 1.94)
B_2 = (-2.64, 3.94)
u_1 = Vector(A_2, B_2)
A_3 = (-5.5, 1.7)
B_3 = (-2.5, 3.7)
u_2 = Vector(A_3, B_3)
A_4 = (-6.76, 3)
B_4 = (-3.76, 5)
u_3 = Vector(A_4, B_4)
A_5 = (-6.72, 2.54)
B_5 = (-3.72, 4.54)
u_4 = Vector(A_5, B_5)
A_6 = (-6.54, 2.26)
B_6 = (-3.54, 4.26)
u_5 = Vector(A_6, B_6)
A_7 = (-6.56, 1.76)
B_7 = (-3.56, 3.76)
u_6 = Vector(A_7, B_7)
A_8 = (-6.32, 1.64)
B_8 = (-3.32, 3.64)
u_7 = Vector(A_8, B_8)
C_2 = (-6.78, 0.78)
D_2 = (-2.78, 1.78)
v_1 = Vector(C_2, D_2)
C_3 = (-6.72, 1.26)
D_3 = (-2.72, 2.26)
v_2 = Vector(C_3, D_3)
C_4 = (-6.72, 1.64)
D_4 = (-2.72, 2.64)
v_3 = Vector(C_4, D_4)
C_5 = (-7.1, 0.78)
D_5 = (-3.1, 1.78)
v_4 = Vector(C_5, D_5)
C_6 = (-7.26, 1.06)
D_6 = (-3.26, 2.06)
v_5 = Vector(C_6, D_6)
C_7 = (-6.44, 0.98)
D_7 = (-4.44, 1.98)
v_6 = Vector(C_7, D_7)
M_1 = (2.32, 7.78)
M'_1 = Translate(M_1, v_6)
h_1 = Vector(M_1, M'_1)
C_8 = (-6.08, 0.82)
D_8 = (-4.08, 1.82)
v_7 = Vector(C_8, D_8)
M_2 = (3.22, 7.82)
M'_2 = Translate(M_2, v_7)
h_2 = Vector(M_2, M'_2)
C_9 = (-7.6, 1.5)
D_9 = (-5.6, 2.5)
v_8 = Vector(C_9, D_9)
M_3 = (1.42, 8.4)
M'_3 = Translate(M_3, v_8)
h_3 = Vector(M_3, M'_3)
C_{10} = (-7.4, 1.88)
D_{10} = (-5.4, 2.88)
v_9 = Vector(C_{10}, D_{10})
M_4 = (1.78, 8.98)
M'_4 = Translate(M_4, v_9)
h_4 = Vector(M_4, M'_4)
C_{11} = (-6.84, 1.72)
D_{11} = (-4.84, 2.72)
v_{10} = Vector(C_{11}, D_{11})
M_5 = (2.18, 8.64)
M'_5 = Translate(M_5, v_{10})
h_5 = Vector(M_5, M'_5)
C_{12} = (-8.18, 1.36)
D_{12} = (-6.18, 2.36)
v_{11} = Vector(C_{12}, D_{12})
M_6 = (0.86, 8.32)
M'_6 = Translate(M_6, v_{11})
h_6 = Vector(M_6, M'_6)
A_9 = (-8.18, 2.26)
B_9 = (-7.18, 4.26)
u_8 = Vector(A_9, B_9)
E_2 = (1.22, 4.22)
E'_1 = Translate(E_2, u_8)
w_1 = Vector(E_2, E'_1)
A_{10} = (-8.02, 2.18)
B_{10} = (-7.02, 4.18)
u_9 = Vector(A_{10}, B_{10})
E_3 = (1.36, 4.08)
E'_2 = Translate(E_3, u_9)
w_2 = Vector(E_3, E'_2)
A_{11} = (-5.54, 1.8)
B_{11} = (-4.54, 3.8)
u_{10} = Vector(A_{11}, B_{11})
E_4 = (0.64, 4.46)
E'_3 = Translate(E_4, u_{10})
w_3 = Vector(E_4, E'_3)
A_{12} = (-7.28, 1.82)
B_{12} = (-6.28, 3.82)
u_{11} = Vector(A_{12}, B_{12})
E_5 = (2.12, 3.8)
E'_4 = Translate(E_5, u_{11})
w_4 = Vector(E_5, E'_4)
A_{13} = (-5.02, 1.72)
B_{13} = (-4.02, 3.72)
u_{12} = Vector(A_{13}, B_{13})
E_6 = (0.76, 4.06)
E'_5 = Translate(E_6, u_{12})
w_5 = Vector(E_6, E'_5)
A_{14} = (-6.76, 1.72)
B_{14} = (-5.76, 3.72)
u_{13} = Vector(A_{14}, B_{14})
E_7 = (2.54, 3.68)
E'_6 = Translate(E_7, u_{13})
w_6 = Vector(E_7, E'_6)
A_{15} = (-5.9, 1.6)
B_{15} = (-4.9, 3.6)
u_{14} = Vector(A_{15}, B_{15})
E_8 = (3.52, 3.64)
E'_7 = Translate(E_8, u_{14})
w_7 = Vector(E_8, E'_7)