I'm looking for a word or term that encompasses both of the following conditions:
- equal and opposite
- AND
- sum to zero
I am looking specifically at a term for a pairing relationship in the context of physics.
Here are some examples:
NUMBER
- ( +5 ) <> ( -5 )
- equal magnitude
- opposite sign
- ( +5 ) ADD ( -5 ) sums to zero
VECTOR / FORCE
- ( magnitude 5 angle 0 degrees ) <> ( magnitude 5 angle 180 degrees )
- equal magnitude
- opposite direction
- ( magnitude 5 angle 0 degrees ) ADD ( magnitude 5 angle 180 degrees ) sums to zero
ELECTRIC CHARGE
- ( 2+ ) <> ( 2- )
- equal magnitude
- opposite charge sign
- ( 2+ ) ADD ( 2- ) sums to zero
Thus far, I've found the terms:
equilibrant : a force capable of balancing another force and producing equilibrium
~ but this is for forces only
anti-parallel : In a Euclidean space, two directed line segments, often called vectors in applied mathematics, are antiparallel, if they are supported by parallel lines and have opposite directions
~ but this is for vectors only and does not strictly mean equal
What may help to convey exactly what I am looking for is to consider the pairing relationship from the "opposite end" - let me express my examples again from this point of view:
NUMBER
- we start with number ( 0 )
- we split ( 0 ) into
- ( +5 ) <> ( -5 )
VECTOR / FORCE
- we start with vector/force ( magnitude 0 )
- we split ( magnitude 0 ) into
- ( magnitude 5 angle 0 degrees ) <> ( magnitude 5 angle 180 degrees )
ELECTRIC CHARGE
- we start with charge ( 0 )
- we split charge ( 0 ) into
- ( 2+ ) <> ( 2- )