Can someone give an example of cosine similarity, in a very simple, graphical way?

Question

Cosine Similarity article on Wikipedia

Can you show the vectors here (in a list or something) and then do the math, and let us see how it works?

I\'m a begin

Answer 1

Two Vectors A and B exists in a 2D space or 3D space, the angle between those vectors is cos similarity.

If the angle is more (can reach max 180 degree) which is Cos 180=-1 and the minimum angle is 0 degree. cos 0 =1 implies the vectors are aligned to each other and hence the vectors are similar.

cos 90=0 (which is sufficient to conclude that the vectors A and B are not similar at all and since distance cant be negative, the cosine values will lie from 0 to 1. Hence, more angle implies implies reducing similarity (visualising also it makes sense)