The curves `bar r_1(t) = < 2t,t^(4),5t^(6) >` and `bar r_2(t) = < sin(-2t),sin(4t),t - pi >` intersect at the origin.
Find the angle of intersection, in radians on the domain `0<=t<=pi`, to two decimal places.
The Attempt at a Solution
Well, I tried to do it in the same way I would with two vectors. I needed to find the dot product and the magnitudes for starters, so...
(2t)(sin(-2t) + (t^4)(sin(4t)) + (5t^6)(t - pi)
sqrt((2t)^2 + (t^4)^2 + (5t^6)^2) * sqrt((sin(-2t))^2 + (sin(4t))^2 + (t - pi)^2)
But...now I'm not sure what to do. Am I even going in the right direction?