I have problem on this am not sure with my solution.(adsbygoogle = window.adsbygoogle || []).push({});

A force of x-y plane is given by F = A(10ai+3xj),where A and a are constants.F is in Newtons and x is in meters.Suppose that the force act on a particle as it moves from position x=4m,y=1m to a final position x=4m,y=4m.Show that this force is not conservative by computing the work done by the force for at least two different paths.

I have tried to draw the xy axis diagram and getting the rectangular with x=4 and y=3,do I pluged it in scalar product of W.D=F.X AND F.Y respectively? am I right?

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