Constant forces ${\mathbf{F}}_1=\mathbf{i}-\mathbf{j}+\mathbf{k}, {\mathbf{F}}_2=-\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and ${\mathbf{F}}_{\mathbf{3}}=\mathbf{j}-\mathbf{k}$ act on a particle at a point A. Find the work done when the particle is displaced from the point A to B where $\mathbf{A}=4\mathbf{i}-3\mathbf{j}-2\mathbf{k}$ and $\mathbf{B}=6\mathbf{i}+\mathbf{j}-3\mathbf{k}$.