Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

IsTim

  • 2 years ago

Which pairs of planes are parallel and distinct and which are conincident? 2x+4y-7z-2=0 4x+6y-14z-8=0

  • This Question is Closed
  1. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I tried looking through my notes and textbook for this one, but unless there is a direct connection, I don't understand how to apply it to this question.

  2. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I managed to answer some unrelated questions beforehand, but I don't know how I managed to solve them...

  3. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So I figured out the normals were [2,3,7] and [4,6,-14]

  4. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I can see that I just have to multiply 2,3,7 by 2 to get the other plane. So would that be conidental or parallel and distinct?

  5. bahrom7893
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that should be parallel and distinct.. if u can just multiply them by a scalar, but i suck at this, so idk.. @Mertsj @Zarkon

  6. bahrom7893
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @amistre64 @satellite73 @myininaya

  7. bahrom7893
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @LagrangeSon678

  8. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wait. Maybe I'll try something out here.

  9. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how is [2,3,7] the normal vector?

  10. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Er, I just looked at my notes and inferred that...

  11. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if 2x+4y-7z-2=0 is your equation then <2,4,7> is the normal vector

  12. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    <2,4,-7>

  13. bahrom7893
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Zarkon to the rescue!!!!

  14. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, got that. For the other then, it must be 4,6,-14?

  15. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  16. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So from this, how would I determine the answer? Or do I need more?

  17. LagrangeSon678
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    if the planes are parrallel then the cross product of their normal vectors should be 0

  18. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    two plane are parallel iff their normal vectors are parellel

  19. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'll try that cross product thing. Thanks guys. I'lll cry out if I have a problem.

  20. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    two non zero vectors \(\vec{v}\) and \(\vec{u}\) are parallel iff \(\vec{v}=c\vec{u}\) for some scalar \(c\)

  21. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Pardon?

  22. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is one of the vectors a constant multiple of the other?

  23. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The first one, multiplied by 2, equals the second one.

  24. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    really?

  25. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    IT seemed so...

  26. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you have the equations 2x+4y-7z-2=0 4x+6y-14z-8=0 then you have the normal vectors <2,4,-7> and <4,6,-14> are these constant multiples of each other?

  27. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That 4y was suppose to be a 3y....

  28. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I did mistype that. No wonder my confusion. And probably yours...

  29. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then <4,6,-14>=2<2,3,-7> and so they are parallel...and therefore their planes are parallel

  30. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And distinct??

  31. Zarkon
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  32. IsTim
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Awesome. Thank you. This was relatively simple after all...

  33. 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.