Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Theoretic or vector notation

  1. Jan 8, 2004 #1
    I am having a hard time with this problem, and i need some help.

    It says:
    In Exercisies 11-17, use set theoretic or vector notation or both to describe the points that lie in the given configurations.

    11.) The plane spanned by v1 = (2,7,0) and v2 = (0,2,7)

    In the back of the book they have this answer
    {(2s,7s+2t,7t)| sER, tER}

    I know all they did was add the two vectors together, but i dont know how the got s, and t and what they represent.

    E= is a member of
  2. jcsd
  3. Jan 8, 2004 #2
    A vector is in the span of v1 and v2 if and only if it is a linear combination of v1 and v2. In other words, v is in the span if


    where s and t are any two real numbers. This is pretty much what the set theory notation is saying.

    Perhaps I didn't explain this too well. I'm not sure what your level of knowledge is, so I don't know how in-depth you need me to go.
    Last edited: Jan 8, 2004
  4. Jan 9, 2004 #3


    User Avatar
    Science Advisor

    Looks good to me master_coda.

    Rajvirnijjar, perhaps you should review the concept of "spanning".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook