1. The problem statement, all variables and given/known data At what point do the curves r1(t) = <t, 1 - t, 3 + t^2> and r2(s) = <3 - s, s - 2, s^2> intersect? Find their angle of intersection correct to the nearest degree. 2. Relevant equations 3. The attempt at a solution I set t = 3 -s 1 - t = s - 2 3 + t^2 = s^2 I got s = s and t =t, and I should of course assume so, but I wasn't able to find their exact numerical values. Then I thought to differentiate both functions and see about that. 1 = -1, they don't equal -1 = 1, they don't equal 2t = 2s, take out the 2, and t = s, but they don't from the previous two equations. Also I am not sure how to calculate the angle. I realize I would use some inverse trigonometric function, but I am not sure how to get to that step.