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(2; −1; 0)
¡
4
3
; 0; −
1
3
¢
(0; 2; −1)
d = −4 d = 9 d = 3
l = 3
x+4
3
=
y+5
2
=
z−3
−1
5x + 5z −8 = 0
l = −5 m = −11
l 6= 7 l = 7 m = 3 l = 7 m 6= 3
(2; −3; 6)
x−2
2
=
y+4
5
=
z+1
3
c = −2
4x + 6y + 5z − 1 = 0
6x − 20y − 11z + 1 = 0
x−3
5
=
y+2
−6
=
z+4
9
x = −3 + 8t y = −1 − 3t z = 2 − 4t
a =
13
3
d =
23
3
x − 2y + 3z + 3 = 0
x − y − 3z + 2 = 0
(3; −5; 1) (1; −7; 9) (0; 1; 13)
7x − y − 5z = 0
4x − y − 2z − 9 = 0
60
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45
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60
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120
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60
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45
◦
11x − 2y − 15z − 3 = 0
4x + 3y − 5 = 0 5x + 3z − 7 = 0 5x − 4y + 1 = 0
x − 8y + 5z − 3 = 0
x − 1 =
y−2
−3
=
x+7
−8
x−2
6
=
y+1
−1
=
x+3
7
x = 3 + 3t y = 1 + 15t z = −3 + 19t
60
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