Is it possible to resolve a vector?

Ans. Yes, you can.

Consider two vectors, a horizontal vector of magnitude 4 and a vertical vector of magnitude 3. The resultant of these 2 vectors is vector of magnitude 5 at an angle of cos-1(4/5)to the horizontal axis. So we can say that vector of magnitude 5 at angle of cos-1(4/5)to the horizontal axis can be resolved to 2 vectors, one of magnitude 4 parallel to the horizontal axis and another of magnitude 3 parallel to the vertical axis.

Consider the addition of two integers, say 5 and 8, which results in the number 13. Furthermore, the number 13 is divided or resolved.