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

goodz Group Title

Is this a subspace of R3? The set of all vectors of the form <a,b,c> where a+b+c = 0

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Jemurray3 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you misunderstood the question. a, b, and c are components of the vector, not vectors themselves. This set of vectors forms a plane through the origin, and therefore constitutes a subspace.

    • 2 years ago
  2. Jemurray3 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You can easily check the requirements for a subspace, also -- i.e. multiply any such vector by a scalar and its components will still add to zero, and the sum of any two such vectors is another vector whose components add to zero.

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

    Thank you!

    • 2 years 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.