this post was submitted on 08 Sep 2024
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Check CompassRed's comment above.
The definition part of the wikipedia article has a table with these "nice relationships for addition and scaling". You will see that they also hold for many kinds of functions, such as polynomials and other more abstract things than points and directions in 2D or 3D. N-dimensional vectors for example, or using complex numbers, or both.
https://en.wikipedia.org/wiki/Vector_space