Yes. The result is the total displacement that would result in following each vector in turn.
The top diagram shows the result of adding
The bottom diagram shows the result of adding
a + (b + c) = (a + b) + c
The rule works in all dimensions. Mostly the geometric vectors of computer graphics are two dimensional and three dimensional (although, in general, higher dimensions are possible).
The associative property means that sums
of several vectors can be