In order to predict your movie preferences, Netflix stores each of its users as a vector

with a coordinate corresponding to each movie of its database. The coordinate associated to a movie is

assigned a value of $1$ if you liked the movie, $-1$ if you didn$$t like it and $0$ if you did not rate it$.$

If Netflix has $3,780$ movies in its database and $167$ million users, how many vectors are stored in its

database? What is the dimension of these vectors?