\vec{u}

\vec{v}

\vec{v}

\vec{u} + \vec{v}

Ver coordenadas de vectores

\vec{v}

Método del paralelogramo

Método del triángulo

Ver ejes

Oculta ejes

A = (0, 1)
B = (2, 6)
u = Vector(A, B)
C = (3, -1)
D = (10, 2)
v = Vector(C, D)
a = 0 (slider from 0 to 3.3, step 0.01)
w = Vector(C, A)
d1 = Min(1, a)
C' = Translate(C, Vector[(d1 * w)])
D' = Translate(D, Vector[(d1 * w)])
v' = Vector(C', D')
d2 = If(a  <  1.1, 0, a  <  2.1, a - 1.1, 1)
b = Segment(B, B + ((1.2 * d2) * v))
c = Segment(D', D' + ((1.2 * d2) * u))
d3 = Max(0, a - 2.3)
d = Vector(A, A + (d3 * (u + v)))
e = false
f = 0 (slider from 0 to 2.2, step 0.01)
d1' = Min(1, f)
g = Vector(C, B)
C'' = Translate(C, Vector[(d1' * g)])
D'' = Translate(D, Vector[(d1' * g)])
h = Vector(C'', D'')
d2' = If(f  <  1.2, 0, f - 1.2)
i = Vector(A, A + (d2' * (u + v)))
texto5: "u=" + u + ""
texto5_1: "v=" + v + ""
texto7: "u+v=" + (u + v) + ""
u_x: x(u)
u_y: y(u)
texto9: "\vec{u}=\left(" + (LaTeX[u_x]) + "," + (LaTeX[u_y]) + "   \right) "
M_u = Midpoint(A, B)
v_x: x(v)
v_y: y(v)
texto10: "\vec{v}=\left( " + (LaTeX[v_x]) + "," + (LaTeX[v_y]) + "  \right) "
s_x: x(u + v)
s_y: y(u + v)
texto11: "\vec{u}+\vec{v}=\left(" + (LaTeX[s_x]) + "," + (LaTeX[s_y]) + "   \right) "
ver = 0 (slider from 0 to 1, step 1)

Tool: EcGeneral
recta
Input: r
Output: gene

coefs: {x(r), y(r), z(r)}
mcd = If(x(r) ≟ 0 ∨ (floor(x(r)) ≠ x(r)) ∨ (floor(y(r)) ≠ y(r)) ∨ (floor(z(r)) ≠ z(r)), x(r), (sgn(x(r)) * GCD[coefs]))
a: x(r) / mcd
b: y(r) / mcd
c: z(r) / mcd
tx = If(a ≟ 1, "x", a + " x")
ty = If(b ≟ 1, " + y", b ≟ -1, " - y", b ≟ 0, "", b > 0, " + " + b + " y", b  <  0, " - " + ((-b)) + " y")
tz = If(c ≟ 0, " = 0", c > 0, " + " + c + " = 0", " - " + ((-c)) + " = 0")
gene: "" + (tx + ty + tz) + ""