Find the work done by the force field: , y, z) = in moving an object from the point (1, 1, −1) to (2, 0, −3) along a straight line.

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)

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