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 )

Options

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)`

Answer

B