Vektorien yhteen- ja vähennyslasku
Author: Laura Rajanen

Liikuta vektorien u ja v kärkipisteistä niiden suuruutta ja suuntaa. Voi valita näkyviin joko vektorien yhteenlaskun, vähennyslaskun tai molemmat yhtäaikaa.

yhteenlasku

vähennyslasku

molemmat

u+v

+u

+v

u

v

u-v

-v

v-u

-u

Näytä:

A = Intersect(xAxis, yAxis)
B = (-1.18, 1.72)
u = Vector(A, B)
C = (1.6766436551082522, 0.7917598708314626)
v = Vector(A, C)
B' = Translate(B, v)
w = Vector(B, B')
C' = Translate(C, u)
z = Vector(C, C')
a = Vector(A, B')
D: -C
b = Vector(A, D)
B'_1 = Translate(B, b)
c = Vector(B, B'_1)
d = Vector(A, B'_1)
E = Midpoint(B'_1, B)
F = Midpoint(B, B')
G = Midpoint(A, B')
H = Midpoint(B'_1, A)
I = Midpoint(C', C)
J: -B
e = Vector(A, J)
C'_1 = Translate(C, e)
f = Vector(C, C'_1)
K = Midpoint(C, C'_1)
g = Vector(A, C'_1)
L = Midpoint(A, C'_1)
näytä = 2 (slider from 0 to 2, step 1)
M = (-6.799999999999998, 5.239999999999999)
N = (-6.799999999999998, 4.039999999999999)
O = (-3.94, 4.039999999999999)
P = (-3.94, 5.239999999999999)
poly1, m, n, o, p = Polygon(M, N, O, P)
Q = (5.503034821277078, 4.998886476420072)
R = (5.479999999999998, 3.32)
S = (8.01588872144765, 3.323650542973024)
T = (8, 5)
poly2, q, r, s, t = Polygon(Q, R, S, T)
B'_2 = Translate(B, g)
U = Translate(B'_2, d)
h = Segment(B, C)
V = Midpoint(A, B)
W = Midpoint(A, C)
text20: "u = " + B
text21: "v = " + C
text22: "u + v = " + B'
text23: "u - v = " + B'_1
text24: "v - u = " + C'_1