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Transcript
Ebenen I
Parameterform
Gleichung aufstellen durch 3 Punkte
E: x = p + u s + v t
E: x = OA + AB s + AC t
B (1|0|1)
( )
( )
E: x = + s + t
( )
1
1
0
1 - 1
0 - 1
1 - 0
0 - 1
1 - 1
1 - 0
A (1|1|0)
Parameterform - Aufbau
( )
( )
Stützvektor
C (0|1|1)
( )
1
1
0
0
-1
1
E: x = + s + t
-1
0
1
E: x = p + u s + v t
u
Spannvektor
p
v
Gleichung aufstellen durch 2 Geraden
( )
( )
g: x = + s
( )
h: x = + t
-1
1
-2
1
-2
3
-1
1
-2
2
1
1
( )
( )
( )
-1
1
-2
1
-2
3
E: x = + s + t
2
1
1
( )
( )
g: x = + s
( )
h: x = + t
1
1
2
3
4
3
2
3
1
1
0
1
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