Is there a concise, accepted term for a piece of information that describes location (translation from origin) plus orientation (angular position / attitude), but ignoring magnitude?
In a little more detail
My formal mathematical training ended with differential equations in engineering school some 10 years ago, so forgive me if I use the wrong terms here. From what I know, and the limited fruits of my Googling:
Given three fundamental geometrical aspects in n-dimensional space:
I can find terms that describe:
- Location only: location, point, position, location vector, position vector
- Orientation only: orientation, attitude, angular position
- Magnitude only: magnitude, length
- Orientation + magnitude: vector, spatial vector, geometric vector
I cannot find terms that describe:
- Location + orientation (this is specifically what I'm looking for)
- Location + magnitude
- Location + magnitude + direction
I'm writing a code library that's focused on describing and manipulating shapes in a two dimensional plane. Both in the code itself and in my natural language discussions of it, it would be very expedient to be able to name the location-plus-orientation of the entities. Just as in engineering it is so frequent that we need to discuss the orientation-and-magnitude of things (such as forces) that we use a single word for it: commonly just 'vector'. I'm on the verge of coming up with my own hacky portmanteau, but if there is an existing accepted term I would prefer to use that.