Sistema de referencia

Ortonormal

C = (0, 0, 1.7733801783019505)
O: (0, 0, 0)
B = (-1.1049214002190908, 3.3767044277306937, 0)
A = (1.540815909257148, -0.2802323746737905, 0.011604376159629837)
w = Vector(O, C)
u = Vector(O, A)
v = Vector(O, B)
a = false
P = (3.628471006966649, 3.4928869304873587, 3.079780218672708)
xy = Plane(O, A, B)
a_{1} = OrthogonalLine(P, xy)
xz = Plane(O, A, C)
b = OrthogonalLine(P, xz)
yz = Plane(O, B, C)
c = OrthogonalLine(P, yz)
f_1 = Line(P, w)
E = Intersect(f_1, xy)
g_1 = Line(P, v)
F = Intersect(g_1, xz)
h_1 = Line(P, u)
G = Intersect(h_1, yz)
i_1 = Segment(P, E)
j_1 = Segment(P, F)
k_1 = Segment(P, G)
l_1 = Line(G, i_1)
m_1 = Line(E, k_1)
n_1 = Line(F, i_1)
p_1 = Line(E, j_1)
q_1 = Line(F, k_1)
s_1 = Line(G, j_1)
H = Intersect(m_1, l_1)
I = Intersect(q_1, s_1)
J = Intersect(p_1, n_1)
t_1 = Segment(F, J)
b_1 = Segment(E, J)
d_1 = Segment(F, I)
e_1 = Segment(I, G)
h_2 = Segment(G, H)
i_2 = Segment(H, E)
j_2 = Segment(I, O)
k_2 = Segment(H, O)
l_2 = Segment(J, O)
vOJ = Vector(O, J)
vOI = Vector(O, I)
vOH = Vector(O, H)
valorλ: ((u * vOJ)) / (abs(u))^(2)
valorμ: ((v * vOH)) / (abs(v))^(2)
valorγ: ((w * vOI)) / (abs(w))^(2)
g = Ray(O, A)
h = Ray(O, B)
i = Ray(O, C)
PX: (1, 0, 0)
PY: (0, 1, 0)
PZ: (0, 0, 1)
texto1: "\overrightarrow{OP}=" + (LaTeX[valorλ]) + "\overrightarrow{u}+" + (LaTeX[valorμ]) + "\overrightarrow{v}+" + (LaTeX[valorγ]) + "\overrightarrow{w}\\P=(" + (LaTeX[valorλ]) + " ," + (LaTeX[valorμ]) + " ," + (LaTeX[valorγ]) + " ) "