1. The problem statement, all variables and given/known data
This is a problem involving parametric equations.
r_{1}= <t,2t,12+t^{2}>
r_{2}= <6s,s4,s^{2}>
At what point do the curves intersect?
Find the angle of intersection, to the nearest degree.
3. The attempt at a solution
I found the point of intersection, (2,0,16). This is when t=2 and s=4.
I found the tangent vectors.
d/dt(r1) = <1,1,2t>
d/ds(r2) = <1,1,2s>
I used r_{1}[itex]\cdot[/itex]r_{2} = r1r2cos[itex]\theta[/itex], using the tangent vectors at t=2 and s=4, and solved for theta.. I came up with 23°, but the system tells me I'm wrong. What happened?
EDIT:: Okay.... it seems like I was coming up with a different answer every time. Got it on my last try though. Gotta be more careful... for anyone wondering, the correct answer is 29°
