Acerca

Aleja

r :

A

u

Ecuación vectorial

P(x,y,z)

Ecuaciones paramétricas

\vec{p}

\vec{p}=\vec{a}+λ\:\vec{u}

\vec{u}

λ\:\vec{u}

\vec{a}

Ecuación continua

Ecuaciones implicitas

U: (2, -1, 2)
u = Vector((0, 0, 0), U)
A: (2, 1, 3)
r = Line(A, u)
CasillaDeEntrada1 = Textfield(A)
CasillaDeEntrada2 = Textfield(U)
i = true
λ = 1.5 (slider from -5 to 5, step 0.05)
P: A + (λ * u)
v = Vector(P)
a1: x(A)
a2: y(A)
a3: z(A)
u1: x(u)
u2: y(u)
u3: z(u)
j = true
au1: abs(u1)
au2: abs(u2)
au3: abs(u3)
texto31 = If(u1 < -1, (("-" * au1) * "λ"), u1 ≟ -1, "-λ", -1 < u1 < 0, (("-" * au1) * "λ"), u1 ≟ 0, "", 0 < u1 < 1, (("+" * au1) * "λ"), u1 ≟ 1, "+λ", u1 > 1, (("+" * au1) * "λ"))
texto32 = If(u2 < -1, (("-" * au2) * "λ"), u2 ≟ -1, "-λ", -1 < u2 < 0, (("-" * au2) * "λ"), u2 ≟ 0, "", 0 < u2 < 1, (("+" * au2) * "λ"), u2 ≟ 1, "+λ", u2 > 1, (("+" * au2) * "λ"))
texto33 = If(u3 < -1, (("-" * au3) * "λ"), u3 ≟ -1, "-λ", -1 < u3 < 0, (("-" * au3) * "λ"), u3 ≟ 0, "", 0 < u3 < 1, (("+" * au3) * "λ"), u3 ≟ 1, "+λ", u3 > 1, (("+" * au3) * "λ"))
texto3: "r:\left \{\begin{array}{} x=" + (LaTeX[a1]) + " " + (LaTeX[texto31]) + "\\ y=" + (LaTeX[a2]) + "" + (LaTeX[texto32]) + "\\ z=" + (LaTeX[a3]) + "" + (LaTeX[texto33]) + "\end{array}  \right. 
   "
A_1: A + u
w = Vector(A, A_1)
b = Vector(A, P)
a = Vector((0, 0, 0), A)
texto5: "(x,y,z)=" + (LaTeX[A]) + "+λ\:" + (LaTeX[U]) + ""
O: (0, 0, 0)
texto7: "" + (LaTeX[texto6]) + ""
texto11: "" + (LaTeX[texto6]) + "="
texto8: "" + (LaTeX[P]) + " = " + (LaTeX[A]) + " + " + (LaTeX[λ]) + " " + (LaTeX[U]) + ""
aa1: abs(a1)
aa2: abs(a2)
aa3: abs(a3)
texto13 = If(a1 < 0, ("+" * aa1), a1 ≟ 0, "", a1 > 0, ("-" * aa1))
texto14 = If(a2 < 0, ("+" * aa2), a2 ≟ 0, "", a2 > 0, ("-" * aa2))
texto15 = If(a3 < 0, ("+" * aa3), a3 ≟ 0, "", a3 > 0, ("-" * aa3))
texto12: "\frac{x" + (LaTeX[texto13]) + "}{" + (LaTeX[u1]) + "}=\frac{y" + (LaTeX[texto14]) + "}{" + (LaTeX[u2]) + "}=\frac{z" + (LaTeX[texto15]) + "}{" + (LaTeX[u3]) + "}"
k = true
texto16: "r:\left \{\begin{array}{} " + (LaTeX[u3]) + "\left( x" + (LaTeX[texto13]) + "  \right) =" + (LaTeX[u1]) + "\left(z " + (LaTeX[texto15]) + "  \right)    \\ " + (LaTeX[u3]) + "\left( y" + (LaTeX[texto14]) + "  \right) =" + (LaTeX[u2]) + "\left(z" + (LaTeX[texto15]) + "   \right)    \end{array}  \right. "
c: (u3 * (x - a1)) = (u1 * (z - a3))
d: (u3 * (y - a2)) = (u2 * (z - a3))
texto17: "r:\left \{\begin{array}{}    " + (LaTeX[c]) + "  \\  " + (LaTeX[d]) + " \end{array}  \right."
l = true