I have noticed that when I use the term “coordinates” to talk about vectors, it doesn’t always click for everyone in the room. The previous post covered the algebra of word embeddings and now we explain why you should think about the vector of the word embedding simply as coordinates in space. We skip the trivial 1D and 2D cases since they are straightforward. 4 dimensions is too complicated for me to gif around with, so 3D dimensions would have to suffice for our illustrations.