u+v

u

v

z

v+z

Assoziativgesetz der Vektoraddition

Verändern Sie die Vektoren   ,    und    durch Ziehen an den Endpunkten der zugehörigen Pfeile.

\vec{u}

\vec{v}

\vec{z}

\vec{u}

\vec{v}

\vec{z}

\vec{u}

\vec{v}

\vec{z}

(

(

)

)

+

+

+

+

A = Intersect(xAxis, yAxis)
B = (4, 1)
u = Vector(A, B)
C = (1, 4)
v = Vector(A, C)
a = Line(C, u)
b = Line(B, v)
D = Intersect(a, b)
w = Vector(A, D)
d = Vector(B, D)
e = Vector(C, D)
A' = (6, 0)
f = Vector(A, A')
B' = Translate(B, f)
D' = Translate(D, f)
g = Vector(A', B')
h = Vector(B', D')
F = (-1, 3)
z = Vector(A, F)
n = Line(D, z)
p = Line(F, w)
G = Intersect(n, p)
q = Vector(D, G)
r = Vector(A, G)
Text6: "+\left[\begin{array}{c}" + (x(z)) + " \\ " + (y(z)) + " \\ \end{array} \right]"
Text9: "+\left[\begin{array}{c}" + (x(z)) + " \\ " + (y(z)) + " \\ \end{array} \right]"
i = Vector(D, D')
G' = Translate(G, i)
k_1 = Vector(D', G')
s = Vector(B', G')
c: x(B) + x(C) + x(F)
j: y(B) + y(C) + y(F)
Text7: "=\left[\begin{array}{c}" + c + " \\ " + j + " \\ \end{array} \right]"
z_1 = Vector(A', G')
o: x(B) + x(C)
t: y(B) + y(C)
a_1: x(h) + x(z)
l: x(C) + x(F)
k: y(C) + y(F)
Text10: "+\left[\begin{array}{c}" + l + " \\ " + k + " \\ \end{array} \right]"
Text1: "\left(\left[\begin{array}{c}" + (x(B)) + " \\ " + (y(B)) + " \\ \end{array} \right]\right."
Text2: "\left.+\left[\begin{array}{c}" + (x(C)) + " \\ " + (y(C)) + " \\ \end{array} \right]\right)"
text3: "\left.\left[\begin{array}{c}" + (x(z)) + " \\ " + (y(z)) + " \\ \end{array} \right]\right)"
Text12: "=\left[\begin{array}{c}" + c + " \\ " + j + " \\ \end{array} \right]"
text1: "\left[\begin{array}{c}" + (x(B)) + " \\ " + (y(B)) + " \\ \end{array} \right]+"
Text8: "=\left[\begin{array}{c}" + o + " \\ " + t + " \\ \end{array} \right]"
Text11: "=\left[\begin{array}{c}" + (x(B)) + " \\ " + (y(B)) + " \\ \end{array} \right]"
text2: "\left(\left[\begin{array}{c}" + (x(C)) + " \\ " + (y(C)) + " \\ \end{array} \right]\right.\!\!\!\!\!\!+"