Three forces vector F1 = (2i + 3j + 4k); vector f2 = (i + j + k) and vector F3 = (3i - 2j - k)

Question

Three forces \(\vec F_1 = (2\hat{i} + 3\hat{j} + 4\hat{k} );\ \vec F_2 = (\hat{i}+ + \hat{j} + \hat{k})\ and\ \vec F_3 = (3\hat{i} - 2\hat{j} - \hat{k})\) are working on a system in same direction. These forces displace the system from (2, 3, 6) to point (5, 3, 8). Calculate the work done by the forces.

Answer 1

Given:\(\vec F_1 = (2\hat{i} + 3\hat{j} + 4\hat{k});\ \vec F_2 = (\hat{i} + \hat{j} + \hat{k});\ \vec F_3 = (3\hat{i} - 2\hat{j} - \hat{k})\) Co-ordinate of initial and find points = (2, 3, 6) and (5, 3, 8).