Angle of intersection between two parametric curves


by ElijahRockers
Tags: angle, intersection, parametric, vector
ElijahRockers
ElijahRockers is offline
#1
Jan25-12, 08:38 PM
P: 195
1. The problem statement, all variables and given/known data

This is a problem involving parametric equations.

r1= <t,2-t,12+t2>
r2= <6-s,s-4,s2>

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 r1[itex]\cdot[/itex]r2 = |r1||r2|cos[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
Phys.Org News Partner Science news on Phys.org
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance

Register to reply

Related Discussions
intersection of curves Calculus & Beyond Homework 3
Parametric equation of an intersection. Precalculus Mathematics Homework 6
Angle of Intersection of Space Curves Calculus & Beyond Homework 12
Intersection of 2 curves Precalculus Mathematics Homework 4
Intersection of two 3D parametric curves General Math 4