Question $14\mathrm{.}6$ Progress Check $2$

Which $of$ the following two paths are flow lines $of$ the

vector field $F(x,y,z)=(-z,y,x)?$

$i.c(t)=(cos(t),e^t,sin(t))$

$ii.c(t)=(e^t,0,-e^{-t})$

Select your answer from the options listed.

Neither $(i)$ nor $(ii)is$ a flow line $ofF.$

Both $(i)$ and $(ii)$ are flow lines $ofF.$

Only $(i)is$ a flow line $ofF.$

Only $(ii)is$ a flow line $ofF.$