[CP2K-user] [CP2K:17478] How to define a plane thru its normal vector

[alh chin]

Dear all. 

I am working on a metadynamics study. I want to define a collective 
variable as the distance from an atom to a plane.  I have two questions:
(1) one can define a plane by its normal vector,  see
CP2K_INPUT / FORCE_EVAL / SUBSYS / COLVAR / ANGLE_PLANE_PLANE / PLANE 
<https://manual.cp2k.org/cp2k-2022_1-branch_with_links/CP2K_INPUT/FORCE_EVAL/SUBSYS/COLVAR/ANGLE_PLANE_PLANE/PLANE.html#list_NORMAL_VECTOR>
keyword 

NORMAL_VECTOR {Real} {Real} {Real}
*Alternatively to 3 atoms/points one can define one of the two, planes by 
defining its NORMAL vector.*  

*my question*: since it's not a fixed vector, how to define a fixed plane?

(2)the manual emphasizes that 
*"At least one plane must be defined through atoms."*

*my question*: for what reason at least one plane must be defined thru 
atoms? why can't I define all planes thru normal vectors?

Thanks! 
Alh.

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