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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 F = 3xyi  2j 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
Q: Calculate the work done by the force field F = 3xyi  2j 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
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