1103212204

SubArea: 
Space geometry
Level: 
C
Project ID: 
1103212204
Accepted: 
1
Clonable: 
0
Easy: 
0
A cube \( ABCDEFGH \) with an edge length of \( 2 \) is placed in a coordinate system (see the picture). Let the point \( M \) be the centre of the edge \( EF \). Find the general form equation of the plane \( \rho \) passing through the points \( B \), \( D \), and \( G \) and calculate the distance of \( M \) from the plane \( \rho \).
\( \rho\colon x-y+z=0;\ |M\rho|=\sqrt3 \)
\( \rho\colon x-y+z+2=0;\ |M\rho|=\sqrt3 \)
\( \rho\colon x-y+z+2=0;\ |M\rho|=2\sqrt3 \)
\( \rho\colon x-y+z=0;\ |M\rho|=2\sqrt3 \)