\vec{p}_U

\vec v

\vec w

\vec{p}_w+\vec{p}_v

\vec p

-\vec n

\vec p_w

\vec p_v

U= span(\vec v,\vec w)

Prüfungen sind bei Hilfsobjekte

V: (5, -2, -1)
v = Vector(V)
W: (5, 6, -1)
w = Vector(W)
O: (0, 0, 0)
vw: (v * w)
vv: (v * v)
U = Plane(O, V, W)
a: v ⊗ w
P: (6, 0, 4)
n = Vector((1, 0, 5))
u = Vector(P, (5, 0, -1))
P_U: (5, 0, -1)
p_U = Vector(O, P_U)
P_{v}: (13 / 15 * (5, -2, -1))
P_w: (13 / 31 * (5, 6, -1))
f = Segment(P_w, P)
g = Segment(P, P_{v})
p_w = Vector(O, P_w)
p_v = Vector(O, P_{v})
su: p_w + p_v
Su: P_w + P_{v}
h = Segment(P_w, Su)
i = Segment(P_{v}, Su)
α = Angle(P, P_w, O)
ww: (w * w)
β = Angle(P, P_U, O)
γ = Angle(P, P_{v}, O)
p = Vector(O, P)
δ = Angle(p_v, p_w)
A1: 5
A2: -2
A3: -1
B1: 5
B2: 6
B3: -1
A: {{A1, B1}, {A2, B2}, {A3, B3}}
At = Transpose(A)
AtA: (At * A)
AtAm1: AtA^(-1)
L: ((A * AtAm1) * At)
B: (L * p)
Lp: (L * p)
m1: (832 * L)
A5: 25
B5: 0
C5: -5
A6: 0
B6: 26
C6: 0
A7: -5
B7: 0
C7: 1
m2: {{A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}}
m3: m2 / 26
C: (m3 * p)
L_{26}: (26 * L)
Su_{465}: (465 * Su)
D: (L * p)
E = (-5.593077713482233, 4.367459845330151)
F = (-4.520123303228597, 4.367459845330151)