I was woundering what exactly is the dot product and by that I mean what does it represent because I know the equations but it just seems to spit out a random number. I do not get what this number is supposed to mean. I know how it is usefull to solve many different problems and I know how to use it but it doesnt make very much sense because how is it related to anything. I have seen proofs but they dont seem to help. What does it acctually mean?Or am I thinking of the dot product in the wrong way?