1. The problem statement, all variables and given/known data A particle moves from a point of origin on an x,y plane to the point (5,5) with the units of the plane being meters. The force the particle experiences is given by the vector < 2y, x^2 >. Calculate the work done on the particle as it moves from (0,0) to (5,5). 2. Relevant equations So I know work done is equal to the integral of the dot product of the force and displacement vectors. 3. The attempt at a solution So I attempted to take the integral from (0,0) to (5,5) of < 2y , x^2 > * < dx, dy> and got an answer of 175 J. But the solution is apparently 66.7 J. I have no idea how to arrive to such a solution. Much help would be appreciated, thanks. Edit: Okay, I can see how to arrive at such a solution if it were the dot product of < 2y, x^2> * < dy, dx >. Is this simply an error on the textbook's part? Having < dy, dx > does not make sense.