X

Combinación lineal

Vector w

A = (1.02, 0.3)
O = Intersect(xAxis, yAxis)
q = Line(O, A)
v = Vector(O, A)
B = (-0.76, 0.92)
u = Vector(O, B)
P_x: (1.5, 4)
k = Line(P_x, u)
E = Intersect(k, q)
v_E = Vector(O, E)
n = Line(O, B)
l = Line(P_x, v)
D = Intersect(n, l)
v_D = Vector(O, D)
A0 = Point(zAxis)
A1 = (5.994733865485507, 3.3152726969742012, 2.8769611351063444)
A2 = (2.319580098861806, 5.724083146425173, 4)
μ = 0 (slider from (-abs(pv)) to abs(pv), step 0.01)
λ = 0 (slider from (-abs(pu)) to abs(pu), step 0.01)
λu: (λ * u)
μv: (μ * v)
P_{suma}: O + λu + μv
w_{1} = Vector(O, P_{suma})
w = Vector(O, P_x)
a = false
b = false
P_u: O + λu
P_v: O + μv
f = Line(P_u, v)
g = Line(P_v, u)
texto1: "\(\overrightarrow{w}\)=\(λ\(\overrightarrow{u}\)+μ\(\overrightarrow{v}\)\)=\(" + (LaTeX[λ]) + "\(\overrightarrow{u}\)+" + (LaTeX[μ]) + "\(\overrightarrow{v}\)\)"
P_0: (1.5, 4)
pu: ((v_D * u)) / (abs(u))^(2)
pv: ((v_E * v)) / (abs(v))^(2)