2010008906

Podoblasť: 
Geometria v priestore
Časť: 
A
Project ID: 
2010008906
Source Problem: 
1003188907
Accepted: 
0
Clonable: 
1
Easy: 
0
Sú dané rôznobežné roviny \(2x - 3y + 5z - 9 = 0\) a \(3x - y + 2z - 1 = 0\). Určte parametrické rovnice ich priesečnice \(p\).
\( \begin{aligned} p\colon x&=-1-t, \\ y&=-2+ 11t, \\ z&=1+ 7t;\ t\in\mathbb{R} \end{aligned} \)
\( \begin{aligned} p\colon x&=-1-11t, \\ y&=-2+ 11t, \\ z&=1+ 7t;\ t\in\mathbb{R} \end{aligned} \)
\( \begin{aligned} p\colon x&=-1+t, \\ y&=-2+ 11t, \\ z&=1- 11t;\ t\in\mathbb{R} \end{aligned} \)
\( \begin{aligned} p\colon x&=-1-11t, \\ y&=-2+ 11t, \\ z&=1- 11t;\ t\in\mathbb{R} \end{aligned} \)