(Terms of mathematics/geometry)
1.
A ruleofthumb method to determine the sequence of
axae in a right handed (sic!) cartesian cordinate system.
If the thumb, index finger and middle finger of the
right hand are held so that they form three right angles,
then the thumb indicates the Xaxis, the index finger
the Yaxis and the middle finger the ZAxis.
Right handed cartesian coordinate systems are the standard coordinate systems for most applications and are used in most current CAD systems internally. Left handed cartesian coordinate systems follow the same rule, just using the left hand. They are most often used in surveillance, since they correlate well with flat projections of the longitude and latitude grids of orthogonal projections of the earth surface.
2.
A "rule of thumb" method to determine the normal
vector of polygons in computer graphics applications.
The rule is derived from the mathematical rule to
determine the forward direction of helixes (screws).
When the observer looks at the polygon from one side,
and the points of the polygon are defined in counter
clockwise sequence, then the normal vector points
towards the observer. This can be symbolised by a
"thumbs up" closed right hand fist.
The four remaining fingers point into a counter clockwise
direction (the sequence of the points), while the
thumb shows the direction of the normal vector.
It is to note here, that while the definition of right or lefthandedness of screws and helixes is a mathematical rule, the orientation of polygons in computer graphics is only a convention, though one that is followed fairly consistently by most programs
References: 
normal vector polygon 

 
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right hand rule  Die Rechte HandRegel 