w

u+v

v+u

u-v

u+(-v)

(-v)

u+v

u

v

u+v

w

u+v+w

v+w

(u+v)+w=u+(v+w)

u-v:=u+(-v)

u+v=v+u

Bewegen Sie die grünen Kreuze!

VR-Axiome

A = Intersect(xAxis, yAxis)
B = (4, -1)
C = (1, 1)
D = (4, 3)
u = Vector(A, B)
v = Vector(C, D)
E = (2, 0.5)
F = Point(xAxis)
G = (5, -1)
E' = Translate(E, v)
w = Vector(E, E')
F' = Translate(F, w)
a = Vector(F, F')
G' = Translate(G, a)
b = Vector(G, G')
H = (8.5, 3)
H' = Translate(H, u)
c = Vector(H, H')
H'' = Translate(H', a)
d = Vector(H', H'')
I = (8, -1)
I' = Translate(I, d)
e = Vector(I, I')
I'' = Translate(I', u)
f = Vector(I', I'')
I'_{1} = Translate(I, u)
g = Vector(I, I'_{1})
J = Translate(I'_{1}, b)
h = Vector(I'_{1}, J)
I'_{2} = Translate(I, h)
i = Vector(I, I'_{2})
I'_{3} = Translate(I, h)
j = Vector(I, I'_{3})
k = Vector(H, H'')
l = Vector(I, I'')
K = (15, 2)
K' = Translate(K, d)
m = Vector(K, K')
K'_{1} = Translate(K, u)
n = Vector(K, K'_{1})
p = Vector(K', K'_{1})
K'_{2} = Translate(K, p)
q = Vector(K, K'_{2})
r = Vector(K'_{1}, K'_{2})
B' = Translate(B, v)
s = Vector(B, B')
t = Vector(I, I'')
L = (0, -5)
L' = Translate(L, u)
u_1 = Vector(L, L')
L'' = Translate(L', v)
v_1 = Vector(L', L'')
w_1 = Vector(L, L'')
M = (8, -2)
a_1 = Vector(L'', M)
b_1 = Vector(L, M)
c_1 = Vector(L', M)
N = (13.752, -5.198)
O = (14.992, -5.198)