x_1 +

x_2 +

x_3 =

a = 1 (slider from -5 to 5, step 0.5)
b = 1.5 (slider from -5 to 5, step 0.5)
c = 1 (slider from -5 to 5, step 0.5)
d = 3 (slider from -20 to 20, step 0.5)
E: (a * x) + (b * y) + (c * z) = d
n' = Vector((a, b, c))
g = Line((0, 0, 0), n')
P = Intersect(g, E)
n = Vector(P, P + n')
p = Vector(P)
Text4: "E:  \Biggl[ \underbrace{\begin{pmatrix} x_1 \\ x_2 \\ x_3 \end{pmatrix}}_{\vec{x}} - \underbrace{" + (LaTeX[p]) + "}_{\vec{p}}  \Biggl]  \cdot \underbrace{" + (LaTeX[n]) + " }_{\vec{n}} = 0 "
A: (-7.19025, -0.88)
B: (-3.84484, -0.88)
e: a ≟ 0 ∧ b ≟ 0 ∧ c ≟ 0