A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

he66666

  • 5 years ago

Grade 12 math: vectors? Find the coordinates of two points that are equidistant from A(2, -1, 3) and B(1, 2, -3). answer: (0, 0, 0) and (1, 1/2, 0) how are you supposed to find the points? I found the equation that describes the set of points equidistant from A and B, which is x-3y+6z=0, but I don't know how to find the points.

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

    We know that they are equidistant from the origin (0,0,0) because a^2+b^2+c^2 = z^2 gives the same result for each. Would the midpoint formula be a short cut here?

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

    (1.5, .5, 0)

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

    I would use distance formula: d^2 = (x-2)^2 + (y+1)^2 + (z-3)^2 = (x-1)^2+(y-2)^2 + (z+3)^2 solve it & you get your point(s)

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

    seems pretty messy

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

    not really... some terms will cancel out

  6. he66666
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So I just use the distance formula? I thought there were many answers to this.. like I thought you could just plug in any number in x or y or z of the equation and solve for the others.

  7. he66666
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It doesn't work.. I ended up getting the same equation as my answer: -2x+6y-12z=0, which would be x-3y+6z=0

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.