We treat the following problem. Given two vectors of the same length, find an orthogonal transformation that transforms one to the other. This problem arises in many different engineering fields. In particular, it arises in aerospace engineering, where it is called the pointing problem. We establish the theoretical background of the pointing problem in \(n\) and thus also in three-dimensional space. We give a straightforward solution to this problem, but because it is not unique, we widen the scope of the problem, define the notion of minimal pointing and optimal pointing.