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Thread: Textbook question.

  1. #1
    Sep 2009

    Textbook question.

    Argh... I just typed out a long question then deleted it in favor of this question.

    A linear combination of 2 zero vectors produces a zero vector, which translates into a point, not a plane.... right?

    I hope this is just an error in the solution section of my textbook, otherwise I do not understand linear algebra at all...
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  2. #2
    MHF Contributor

    Apr 2005
    What exactly does your book say? Please type exactly what it says. I suspect you are misreading it.

    A linear combination of "two zero vectors" is the zero vector!

    A linear combination of two non-zero vectors is a plane if they are independent vectors, a line if they are not.
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