$\vec{n_2}$

$\vec{p_2}$

$\vec{n_1}$

$\vec{p_1}$

$\vec{n_1}$

$\vec{n_2}$

n21 = 0 (slider from -5 to 5, step 0.5)
n22 = 0 (slider from -5 to 5, step 0.5)
n23 = 1 (slider from -5 to 5, step 0.5)
n2: (n21, n22, n23)
p23 = 2 (slider from -5 to 5, step 0.5)
p22 = 3 (slider from -5 to 5, step 0.5)
p21 = 2 (slider from -5 to 5, step 0.5)
p2: (p21, p22, p23)
O: (0, 0, 0)
P2: O + p2
n11 = 2 (slider from -5 to 5, step 0.5)
n12 = 0 (slider from -5 to 5, step 0.5)
n13 = 1 (slider from -5 to 5, step 0.5)
n1: (n11, n12, n13)
p13 = 3 (slider from -5 to 5, step 0.5)
p12 = 1 (slider from -5 to 5, step 0.5)
p11 = 2 (slider from -5 to 5, step 0.5)
p1: (p11, p12, p13)
P1: O + p1
P = 1 (slider from -5 to 5)
N1: P1 + n1
A: (0, 0, 2)
C: (4, 4, 0)
Ebene = 1 (slider from -5 to 5)
E1: (x(n1) * x) + (y(n1) * y) + (z(n1) * z) = (p1 * n1)
N2: P2 + n2
a: (p2 * n2)
E2: (x(n2) * x) + (y(n2) * y) + (z(n2) * z) = (p2 * n2)
Text1: "E_1 : \left[\vec{x} - \left(\begin{array}{c} " + (LaTeX[x(p1)]) + " \\ " + (LaTeX[y(p1)]) + " \\ " + (LaTeX[z(p1)]) + " \end{array}\right)\right] \cdot \left(\begin{array}{c} " + (LaTeX[x(n1)]) + " \\ " + (LaTeX[y(n1)]) + " \\ " + (LaTeX[z(n1)]) + " \end{array}\right) = 0"
Text2: "E_2 : \left[\vec{x} - \left(\begin{array}{c} " + (LaTeX[x(p2)]) + " \\ " + (LaTeX[y(p2)]) + " \\ " + (LaTeX[z(p2)]) + " \end{array}\right)\right] \cdot \left(\begin{array}{c} " + (LaTeX[x(n2)]) + " \\ " + (LaTeX[y(n2)]) + " \\ " + (LaTeX[z(n2)]) + " \end{array}\right) = 0"
v1 = Vector(P1, N1)
v2 = Vector(P2, N2)