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Math Help - Vectors, really lost

  1. #1
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    Vectors, really lost

    Hi , not sure if vectors falls under this category , but what are you going to do I just need someone to explain this question for me step by step if you have time . I'm Gavin quite a hard time with it :/

    "The vectors a and b span two space . For what values of m is it true that (m^2+2m-3)a + (m^2+m-6) = 0
    *note that it is a 0 vector. I imagine this'd and they have to cancel each other out some how but I don't know how ....

    Thanks !
    Emma
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  2. #2
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    Re: Vectors, really lost

    Quote Originally Posted by elittlewood View Post
    "The vectors a and b span two space . For what values of m is it true that (m^2+2m-3)a + (m^2+m-6) = 0
    Please review the post. Did you leave a something out? should it be
    (m^2+2m-3)\vec{a}+(m^2+m-6)\vec{b}=0~?
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  3. #3
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    Re: Vectors, really lost

    nope... thats what it says ? It seems like it should span 3 space.....
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    Re: Vectors, really lost

    Quote Originally Posted by elittlewood View Post
    nope... thats what it says ? It seems like it should span 3 space.....
    If that is what it says, then there is a typo in the question.
    Written that way, it makes no sense.
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  5. #5
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    Re: Vectors, really lost

    Quote Originally Posted by elittlewood View Post
    nope... thats what it says ? It seems like it should span 3 space.....
    Did you not read it as you copied it?
    ""The vectors a and b span two space . For what values of m is it true that (m^2+2m-3)a + (m^2+m-6) = 0?"
    You are told that it spans "two space". What makes you think "it should span 3 space"?
    m, and so m^2+ 2m- 3 and m^2+ m- 6, are numbers and a and b are vectors. What did you think a "vector plus a number" could mean?
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