>>14348365It's a set of objects, within which said objects can be added together and dilated* without ever leaving the set.
*As according to certain rules (see below)
(below):
Addition is commutative, associative, has an identity, and each element has an inverse.
[Scalar] Multiplication {dilation} is commutative, associative, has a multiplicative identity, and every element (aside from the additive inverse) has an inverse. Distributive law holds.