Show a flowline of a vector field?? 1. The problem statement, all variables and given/known data Consider the vector field F(x,y,z)=(8y,8x,2z). Show that r(t)=(e8t+e−8t, e8t−e−8t, e2t) is a flowline for the vector field F. r'(t)=F(r(t)) = (_,_,_) Now consider the curve r(t)=(cos(8t), sin(8t), e2t) . It is not a flowline of the vector field F, but of a vector field G which differs in definition from F only slightly. G(x,y,z)=(_,_,_) 2. Relevant equations 3. The attempt at a solution I guess the first part of the question r'(t)=F(r(t)) = (8e8t-8e-8t,8e8t-8e-8t,2e2t) For the second part, I don't understand the question... hope someone can explain to me?