Download X = ( x1 x2 ) = (3+2x x2 ) = (30)+x 2 ·( 2 1) X = x1 x2 x3 = 5+2x2

39
X=
x1
x2
=
3 + 2x2
x2
3
2
=
+ x2 ·
0
1
40
  
 
 


5
2
5 + 2x2 − 3x3
−3
x1
 =  0  + x2 ·  1  + x3 ·  0 
x2
X =  x2  = 
0
0
x3
1
x3

41
2 + s − 2 + 3 − 9s = 5
−8s = 2
s = − 14
The intersection point A has coordinates
 7
 

2
1
4
1
A = 1− · 0 =  1
4
7
1
−3
4
42
parameter s
point X on the line
parametric representation
43
point X from 2D or 3D
yes/no
linear equation
44
yes/no
parameter s
parametric representation
linear equation
12