Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ranyai12

  • one year ago

Please Help! Parameterize the plane that contains the three points (3,−5,−2), (10,−12,−10), and (25,0,5). r(s,t)=

  • This Question is Open
  1. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I first assigned the points to P Q and R and then found PQ and PR and then put P+u<PQ>+v<PR> and I got <3+7s+22t,-5-7s+5t,-2-8s+7s> but got it wrong!

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what did you get for vector PQ

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    btw, this page may help you out http://math.harvard.edu/~ytzeng/worksheet/0926_sol.pdf see page 3

  4. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got <7,-7,-8>

  5. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes i looked at that and Im stll not sure what i dd wrong

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how about PR?

  7. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    22,5,7

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, so far, so good

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm assuming you tried <3+7s+22t,-5-7s+5t,-2-8s+7t>and not <3+7s+22t,-5-7s+5t,-2-8s+7s> right?

  10. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i did it twice and got it wrong twice

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok one sec

  12. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does it specify at all which variables are the free variables (like x and y or x and z)?

  13. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm well I managed to find a calculator that will give the equation of the plane

  15. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that equation is -x-25y+21z-80 = 0 -x-25y+21z= 80 solve for x: -x-25y+21z= 80 -x = 80+25y-21z x = -80-25y+21z

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so if you let y = s and z = t, then you will get <x, y, z> = <-80-25y+21z, y, z> <x, y, z> = <-80-25s+21t, s, t>

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    unfortunately there are many ways to parameterize the plane

  18. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you please provide me with an example

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what do you mean

  20. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    as in please show me a way o parameterize this

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well you could take the cross product of vectors PQ and PR

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that will give you the normal vector to the plane

  23. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what would i do then

  24. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what do you get when you do the cross product

  25. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gimme a sec

  26. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -89i+113j+189k

  27. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    somewhat close, but that's not correct

  28. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what is it then?

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    try it again

  30. ranyai12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  31. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.