Calculate the velocities v1,v2 of alpha1, alpha2 respectively at p = (1,0,0).
alpha1 = (-Pi, Pi) -> Reals(3), defined by alpha1(t) = (cost,sint,t)
alpha2 = (-Pi, Pi) -> R(Reals)(3), defined bby alpha2(t) = (cost, sint, -t).
These are expressions for the position of a particle at a time t.
Since we need a t value. We can find this by:
.
We only have expressions for position. Therefore we need to differentiate them to have an expression for the velocity.
(Can someone post back and tell me if this is notationally correct. I'm not sure if I should be using here.)
When t=0: