Answer:
The work done is 78 ft-lbs.
Step-by-step explanation:
The work W done by a force F in moving along a vector D is
[tex]\textbf{W}= \textbf{F}\cdot \textbf{D}[/tex]
In our case the displacement vector is
[tex]\textbf{D}=<10-3,14-6>=<7,8>[/tex]
So the work done is
[tex]\textbf{W}= \textbf{F}\cdot \textbf{D}\\\textbf{W}=<2,8>\cdot <7,8>\\\textbf{W}=2\cdot7+8\cdot 8\\\textbf{W}=78[/tex]
We know that the unit of force is pounds and the distance is mesuared in feet, then the work done is 78 ft-lbs.
