Calculate the line integral of the vector fieldF(x,y,z)=2zi2xj+k from the point(0,0,0) to the point(1,2,3)

i) Between points along the line segment C1.

ii) Along the lineC2 which has parametrizationx=t,y=2t2,z=3t3,0t1 .

ii) Does the vector fieldF have a potential?