Level:
Project ID:
2010008702
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
We are given the point \( P=[3;-4;-5] \) and planes \( \alpha \) by \( 2x-y-3z-5=0 \) and \( \beta \) by \( 3x-2y-4z+3=0 \). Find the general form of the equation of the plane \( \sigma \) which passes through the point \( P \) and is perpendicular to both planes \(\alpha\) and \(\beta\) (see the picture).
\( \sigma\colon 2x+y+z+3=0 \)
\( \sigma\colon 2x-y-z+15=0 \)
\( \sigma\colon 2x-y+z-5=0 \)
\( \sigma\colon 2x+y-z-7=0 \)