The work done by a constant force F vector applied over a constant displacement

Question

The work done by a constant force F vector applied over a constant displacement Delta r vector of the two vectors W = F vector middot Delta r vector. Consider the different expressions below. W = ||F vector|| ||Delta r vector|| sin theta W = ||F vector|| ||Delta r vector|| cos theta W = F_x Delta x + F_y Delta y + F_z Delta z W = F_x Delta x i cap + F_y Delta y j cap + F_z Delta z k cap where theta is the angle between the two vectors when you put their tails together. A and D only A and C only B and C only B and D only All four expressions are correct

Explanation / Answer

B and C only

because it is a scalar product so we would get cos theta

and option C is basically the expanded version of dot product.

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