$\vec{p}$

$\vec{u}$

$\vec{x}$

Kontrolle

O: (0, 0, 0)
p: (2, -1, 5)
u: (-1, 1, -0.5)
g = Line((x(p), y(p), z(p)), Vector[(x(u), y(u), z(u))])
D_{0}: g(0)
D_{1}: g(1)
D_{2}: g(2)
D_{3}: g(3)
D_{-1}: g(-1)
D_{-2}: g(-2)
D_{4}: g(4)
D_{5}: g(5)
D_{6}: g(6)
t = 2 (slider from -5 to 10, step 1)
v = Vector(O, D_{0})
w = Vector(D_{0}, D_{1})
X: p + (t * u)
a = Vector(O, X)
b = false
Text1: "\orange{\overrightarrow{ O X }} = \blue{\overrightarrow{ O D_0 }} +(" + (LaTeX[t]) + ") \cdot \violet{\overrightarrow{ D_0 D_1 }} = \blue{\begin{pmatrix}" + (LaTeX[x(p)]) + "\\" + (LaTeX[y(p)]) + "\\" + (LaTeX[z(p)]) + "\end{pmatrix}} + (" + (LaTeX[t]) + ") \cdot \violet{\begin{pmatrix}" + (LaTeX[x(u)]) + "\\" + (LaTeX[y(u)]) + "\\" + (LaTeX[z(u)]) + "\end{pmatrix}} = \orange{\begin{pmatrix}" + (LaTeX[x(X)]) + "\\" + (LaTeX[y(X)]) + "\\" + (LaTeX[z(X)]) + "\end{pmatrix}}"