Level:
Project ID:
1103189004
Source Problem:
Accepted:
1
Clonable:
1
Easy:
0
We are given the point \( A=[2;-1;-4] \) and planes \( \rho \) by \( x-y+3z-5=0 \) and \( \sigma \) by \( 2x-y-z-8=0 \). Find the general form of the equation of the plane \( \alpha \) which passes through the point \( A \) and is perpendicular to both planes (see the picture).
\( \alpha\colon 4x+7y+z+3=0 \)
\( \alpha\colon -2x+5y-3z-3=0 \)
\( \alpha\colon 4x-7y+z+3=0 \)
\( \alpha\colon 2x-5y+3z+3=0 \)