$\vec{q}$

$\vec{v}$

$\vec{w}$

wLR = 0 rad (slider from -180° to 180°, step 0.017453292519943295)
w0: (0, (4 * cos(wLR)), (4 * sin(wLR)))
a = 3 (slider from 0 to 5)
Q0: (0 | 0 | a)
s = -1 (slider from -2 to 2)
r = 1 (slider from -2 to 2, step 0.1)
O: (0 | 0 | 0)
wVH = 0 rad (slider from -180° to 180°, step 0.017453292519943295)
v0: ((2 * cos(wVH)), 0, (2 * sin(wVH)))
Q: Q0
q = Vector(O, Q)
V0: Q0 + v0
v = Vector(Q, V0)
W0: Q0 + w0
w = Vector(Q, W0)
A: Q0 + v0 + w0
B: Q0 - v0 + w0
D: Q0 + v0 - w0
C: Q0 - v0 - w0
v1, a_{1}, b, c, d = Polygon(A, B, C, D)
X: q + (r * v) + (s * w)
Y: (x(X) | y(X) | 0)
f = Segment(X, Y)
Text1: "\vec{x} =  \underbrace{\left(\begin{array}{c} " + (LaTeX[x(q)]) + " \\ " + (LaTeX[y(q)]) + " \\ " + (LaTeX[z(q)]) + "  \end{array}\right)}_{\substack{\vec{q}}} +\underbrace{" + (LaTeX[r]) + "}_{\substack{\vec{r}}} \cdot \underbrace{\left(\begin{array}{c} " + (LaTeX[x(v)]) + " \\ " + (LaTeX[y(v)]) + " \\ " + (LaTeX[z(v)]) + "  \end{array}\right)}_{\substack{\vec{v}}} +\underbrace{ " + (LaTeX[s]) + " }_{\substack{\vec{s}}}\cdot \underbrace{\left(\begin{array}{c} " + (LaTeX[x(w)]) + " \\ " + (LaTeX[y(w)]) + " \\ " + (LaTeX[z(w)]) + "  \end{array}\right)}_{\substack{\vec{w}}} = \left(\begin{array}{c} " + (LaTeX[x(X)]) + " \\ " + (LaTeX[y(X)]) + " \\ " + (LaTeX[z(X)]) + "  \end{array}\right) "
Text2: "\vec{q} = \begin{pmatrix}" + (LaTeX[x(q)]) + "\\" + (LaTeX[y(q)]) + "\\" + (LaTeX[z(q)]) + "\end{pmatrix}"
Text3: "\vec{v} = \begin{pmatrix}" + (LaTeX[x(v)]) + "\\" + (LaTeX[y(v)]) + "\\" + (LaTeX[z(v)]) + "\end{pmatrix}"
Text4: "\vec{w} = \begin{pmatrix}" + (LaTeX[x(w)]) + "\\" + (LaTeX[y(w)]) + "\\" + (LaTeX[z(w)]) + "\end{pmatrix}"