May 21st, 2018, 10:31 PM  #1  
Member Joined: Jan 2018 From: Belgrade Posts: 55 Thanks: 2  Prove that points are coplanar Quote:
 that angle between two planes is constant;  that diagonals of the obtained regular hexagon are of the same length as are in 2D;  or something else?  
May 22nd, 2018, 08:46 AM  #2 
Senior Member Joined: Feb 2010 Posts: 711 Thanks: 147 
If you establish a coordinate system with a corner at $\displaystyle (0,0,0)$ then you can get coordinates $\displaystyle E(10,5,0)$, $\displaystyle F(5,10,0)$, $\displaystyle G(0,10,5)$, $\displaystyle H(0,5,10)$, $\displaystyle I(5,0,10)$, $\displaystyle J(10,0,5)$. All of which satisfy the plane $\displaystyle x+y+z=15$.


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coplanar, points, prove 
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