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Im doing some revision of vector calculus and came across the following problem

Q: Calculate the work done by the force field

I got stuck and decided to look at the answers. In the answers (part b of q5 in the document attached), the author assumed that dy=0, and based on this, he assumed that the integral of the vector field was 0. (n.b.

How he came to this conclusion is beyond me, so could anyone shed some light on what Im misunderstanding?

thanks

Q: Calculate the work done by the force field

**F**= 3xy**i**- 2**j**in moving from A: (1,0,0) to D: (2,0,0) and then from D: (2,0,0) to B: (2,sqrt(3),0)I got stuck and decided to look at the answers. In the answers (part b of q5 in the document attached), the author assumed that dy=0, and based on this, he assumed that the integral of the vector field was 0. (n.b.

**r**=**r**(t) = x(t)**i**+ y(t)**j**+ z(t)**k**)How he came to this conclusion is beyond me, so could anyone shed some light on what Im misunderstanding?

thanks