Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 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>

  • one year ago
  • one year ago

  • This Question is Closed
  1. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  2. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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?

    • one year ago
  3. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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

    • one year ago
  4. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  5. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, so far I have from L2: 1+3t -->k1 2-t ---->k2 3-4t--->k3 and L1: -3k1+5k2+7k3=1 Filling those values from L2 into L1, I get: 1=-3(1+3t)+5(2-t)+7(3-4t) 1=-3-9t+10-5t+21-28t t=27/42

    • one year ago
  6. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lol ... what are you doing?? |dw:1350576239788:dw|

    • one year ago
  7. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Was what I did not the way i'm suppose to do it? lol

    • one year ago
  8. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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

    • one year ago
  9. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  10. derrick902 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Got it, thanks :D

    • one year ago
  11. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    well ... trying to find a plane that would contain both lines is not bad either. good pratice for other problems!

    • one year ago
    • Attachments:

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.