Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
derrick902
Group Title
Find the intersection point between two lines:
L1=<3,5,7>k+<1,2,0>
L2=<3,1,4>t+<1,2,3>
 2 years ago
 2 years ago
derrick902 Group Title
Find the intersection point between two lines: L1=<3,5,7>k+<1,2,0> L2=<3,1,4>t+<1,2,3>
 2 years ago
 2 years ago

This Question is Closed

experimentX Group TitleBest ResponseYou've already chosen the best response.1
just equate the values of x, y, z from those two lines and find the valeus of k and t. if you don't find singular values ... then they do not intersect.
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
Hey @experimentX . I tried solving this intersection using a similar method you showed me for the line and plane intersection, does it work here as well?
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
Yeah, I found the intersection using the x,y,z components from L1 and L2 and found the correct intersection. I was just wondering if we could solve it using the other way you showed me for the line and plane problem
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
yeah it works .... just try to find the value of k and t ... from first two equation. put the value on the last equation. If it's invalid then the line does not intersect.
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
Okay, so far I have from L2: 1+3t >k1 2t >k2 34t>k3 and L1: 3k1+5k2+7k3=1 Filling those values from L2 into L1, I get: 1=3(1+3t)+5(2t)+7(34t) 1=39t+105t+2128t t=27/42
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
lol ... what are you doing?? dw:1350576239788:dw
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
Was what I did not the way i'm suppose to do it? lol
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
I just tried to do it a similar way to the way we solved the line and plane intersection; breaking up the line equation into it's x,y,z components, then filling them into the plane equation, except here there's two lines, so I broke up one of the line equations into it's x,y,z, and filled it into the other line equation
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
you are making it complicated... we are trying to find the point common to both lines. so just equate x, y and z of both lines.
 2 years ago

derrick902 Group TitleBest ResponseYou've already chosen the best response.0
Got it, thanks :D
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
well ... trying to find a plane that would contain both lines is not bad either. good pratice for other problems!
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.