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Math Help - Verify VS3 and indicate the zero vector

  1. #1
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    Verify VS3 and indicate the zero vector

    Problem:

    Let V be the set V= {(a1,a2)| where a1,a2 are in R

    over F= R, and define addition and scalar multiplication by

    (a1,a2)+(b1,b2) = (a1+b1,a2+b2) and k(a1,a2) = (ka1,ka2)


    Questions:

    The first problem asks "Verify VS3, indicate the zero vector"

    I've taken an intro linear algebra class but I've never seen the question "Verify VS3". I'm assuming it's just shorthand for something I know but I'm not sure.

    Can someone tell me what it means to "verify VS3"?

    Thanks!
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Re: Verify VS3 and indicate the zero vector

    Quote Originally Posted by divinelogos View Post
    Problem:

    Let V be the set V= {(a1,a2)| where a1,a2 are in R

    over F= R, and define addition and scalar multiplication by

    (a1,a2)+(b1,b2) = (a1+b1,a2+b2) and k(a1,a2) = (ka1,ka2)


    Questions:

    The first problem asks "Verify VS3, indicate the zero vector"

    I've taken an intro linear algebra class but I've never seen the question "Verify VS3". I'm assuming it's just shorthand for something I know but I'm not sure.

    Can someone tell me what it means to "verify VS3"?

    Thanks!
    Things like that (e.g. VS3, GRP4, RNG1, CTG6, MS2) are often shorthand for an axiom in the defintion of an object such as, in this case, a vector space.
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