Find the work done by a force F = 8i – 6j + 8k that moves an object from the point (0, 5, 7) to the point (3, 15, 17) along a straight line. The distance is measured in meters and the force in newtons. Step 1 Recall that the work done is given by W = F. D. When moving from (0, 5, 7) to (3, 15, 17), the displacement vector is given by D = 3 i+ 10 10 j + 10 10 k. Step 2 We are given that F = 8i – 6j + 8k. Therefore, the work done is W = F· D = 8· 3 + • 10 + 8 · J.

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