Work done is 158 joule
Given that, the force of a moving object is,
F = (8i - 6j + 9k) N
The object is moving from point (0,10,8) to the point (6,12,20)
Now we can calculate the displacement by the formula,
dr = (x2-x2)i + (y2 - Y2)j + (z2 - z2)k
Put all the values from the given values.
dr = (6 - 0)x + (12 - 10)j + (20 - 8)k
dr = (6i-2j+12k) meters
Now, the work done can be calculated as,
W = F.dr
W = (8i - 6j + 9k).(6i-2j+12k)
W = 158 J
Hence, work done is 158 joule
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