$\vec{u}$

$\vec{q}$

$\vec{n}$

$\vec{p}$

$\vec{n}$

$\vec{u}$

n21 = -2 (slider from -5 to 5, step 0.5)
n22 = 1 (slider from -5 to 5, step 0.5)
n23 = 0 (slider from -5 to 5, step 0.5)
u: (n21, n22, n23)
p23 = 2 (slider from -5 to 5, step 0.5)
p22 = 3 (slider from -5 to 5, step 0.5)
p21 = 1 (slider from -5 to 5, step 0.5)
q: (p21, p22, p23)
O: (0, 0, 0)
P2: O + q
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)
n: (n11, n12, n13)
p13 = 0 (slider from -5 to 5, step 0.5)
p12 = 0 (slider from -5 to 5, step 0.5)
p11 = 3 (slider from -5 to 5, step 0.5)
p: (p11, p12, p13)
P1: O + p
P = 1 (slider from -5 to 5)
N1: P1 + n
Ebene = 1 (slider from -5 to 5)
E1: (x(n) * x) + (y(n) * y) + (z(n) * z) = (p * n)
N2: P2 + u
a: (q * u)
v1 = Vector(P1, N1)
v2 = Vector(P2, N2)
Text1: "E : \left[\vec{x} - \left(\begin{array}{c} " + (LaTeX[x(p)]) + " \\ " + (LaTeX[y(p)]) + " \\ " + (LaTeX[z(p)]) + " \end{array}\right)\right] \cdot \left(\begin{array}{c} " + (LaTeX[x(n)]) + " \\ " + (LaTeX[y(n)]) + " \\ " + (LaTeX[z(n)]) + " \end{array}\right) = 0"
Text2: "g : \vec{x} = \left(\begin{array}{c} " + (LaTeX[x(q)]) + " \\ " + (LaTeX[y(q)]) + " \\ " + (LaTeX[z(q)]) + " \end{array}\right) + r \cdot \left(\begin{array}{c} " + (LaTeX[x(u)]) + " \\ " + (LaTeX[y(u)]) + " \\ " + (LaTeX[z(u)]) + " \end{array}\right) "
g = Line(P2, N2)