Physics

Problem

A particle has shifted along some trajectory in the plane

xy

from point 1 whose radius vector

\mathbf{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

\mathbf{r}_1

\mathbf{r}_2

, and

\mathbf{F}

are given in SI units).