Level:
Project ID:
1003188905
Accepted:
1
Determine the relative position of the plane \( \rho \) with general equation \( 5x-4y+z-4=0 \) and the straight line \( p \) with parametric equations:
\[ \begin{aligned}
x&=-1+t,\\
y&=2-2t,\\
z&=3+t;\ t\in\mathbb{R}.
\end{aligned} \]
\( p \) is intersecting \( \rho \)
\( p\parallel \rho\text{, } p\not{\!\!\subset}\rho \)
\( p \subset \rho \)