Problem 1.118

A particle has shifted along some trajectory in the plane \(x y\) from point 1 whose radius vector \(\vec{r}_ {1}=\mathbf{i}+2 \mathbf{j}\) to point 2 with the radius vector \(\mathbf{r}_ {2}=2 \mathbf{i}-3 \mathbf{j}\). During that time the particle experienced the action of certain forces, one of which being \(\mathbf{F}=3 \mathbf{i}+4 \mathbf{j}\). Find the work performed by the force \(\mathbf{F}\). (Here \(r_{1}, r_{2}\), and \(F\) are given in SI units).