Answer:
The work done by the force field is (1, -1, -2)
Step-by-step explanation:
First, we need to think of how a force interacts with an object, we just need to add the force to the object, resulting on the following equation:
(1,1,-1) + (x,y,z) = (2,0,-3)
Now we can develop three diferrent equations easier to solve, each one it's going to result on the value of the different axis of the force
1 + x = 2
x = 2 -1
x = 1
1 + y = 0
y = 0 - 1
y = -1
-1 + z = -3
z = -3 - (-1)
z = -2
We have the value of all three axis, so we can know that the work done by the force field is (1,-1,-2).
To prove this we can replace this values on the first equation and see if the equality is correct.
(1,1-1) + (1,-1,-2) = (2,0,-3)
