At what point do the curves r1(t) = and r2(t) = intersect? Find their angel of intersection correct to the nearest degree.

Question

At what point do the curves r1(t) = and r2(t) = <3 - s, s - 2, s^2> intersect? Find their angel of intersection correct to the nearest degree.

anonymous · Answer

*angle

anonymous · Answer

*r2(S)

anonymous · Answer

I found the point to be <1, 0, 4> (t=1 s=2) but am stuck on the angle of intersection

dumbcow · Answer

hmm im not positive but i think if you found the tangent vectors at the point (1,0,4) then used $$\cos \theta = \frac{u*v}{|u| |v|}$$ r'(t) = <1,-1,2t> --> u = <1,-1,2> r2' = <-1,1,2s> --> v = <-1,1,4>

anonymous · Answer

ahhh okay neither the textbook nor the professor gave an example of how to find the angle thank you.

dumbcow · Answer

i get angle of 54.735 , can you check answers?
like i said im not 100%

anonymous · Answer

I get that too but I can't double check the answer, thanks though.

dumbcow · Answer

ok we are correct, just found some verification :) http://www.noodle.org/learn/247463/angle-of-intersection-between-two-curves