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A force given by vecF=f(x)hati+f(y)hatj+...

A force given by `vecF=f_(x)hati+f_(y)hatj+f_(z)hatk` acts on a particle which moves from (a, b, c) to (d, e, f). The work done by the force F is : (Here `A_(1), A_(2), A_(3)` are magntitude of area bounded )

A

`A_(1)+A_(2)+A_(3)`

B

`A_(1)-A_(2)-A_(3)`

C

`-A_(1)+A_(2)-A_(3)`

D

`A_(1)-A_(2)+A_(3)`

Text Solution

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The correct Answer is:
B
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