Q = (2.7375443763895833, -4.393879563768451, 3)
A = (-3.1433507166818337, 3.278357804422029, 2.4595799697781633)
B = (3.871183007596173, -3.0664739685680438, -2.713418858174599)
C = (-2.80872807943033, -2.6235049457110406, -2.8334361251844484)
a = Plane(A, B, C)
u = Vector(A, B)
v = Vector(A, C)
α = -0.3 (slider from -2 to 2, step 0.05)
β = -0.3 (slider from -2 to 5, step 0.05)
w_1: (α * u) + (β * v)
P = Translate(A, w_1)
w = Vector(A, P)
b = Vector(A, Q)
texte1: "\vec{AP}=" + (LaTeX[α]) + "\vec{AB}+" + (LaTeX[β]) + "\vec{AC}"