Question 15

A particle is displaced from the point $A(3, -5, -7)$ to the point $B(6, 2, -2)$ under the action of constant forces defined by $10\mathbf{i} - \mathbf{j} + 11\mathbf{k}$, $4\mathbf{i} + 5\mathbf{j} + 9\mathbf{k}$ and $-2\mathbf{i} + \mathbf{j} - 9\mathbf{k}$. Show that the total work done by the force is 102 units.