To understand why, let's consider a simple example. Imagine you have a 2-dimensional space with x and y coordinates. There are only 4 possible unique vectors:

(0, 0), (0, 1), (1, 0), (1, 1)

As you add more dimensions, the number of possible unique vectors grows rapidly. In a 3-dimensional space, there are 8 possible unique vectors:

(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)

In a 10-dimensional space, there are 10^10 possible unique vectors, which is an enormous number.