Hi I am having trouble calculating the work done in moving a particle from $(-1,2,5)$ to $(1,0,1)$ where $F=yi+xj+zk$ on the curve C, where the curve C is the intersection of $z=x^2+y^2$ and the plane $x+y=1$
I know I have to parametrize to get the right r(t) and then I can use that to calculate the work done. But I don't know how to parametrize it. Would it just along z=1?
Please help. Thanks