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Math Help - Vector Magnitude

  1. #1
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    Vector Magnitude

    Question:
    A vector \b{X} with a magnitude of 8, when combined with vector \b{Y} has a sum of magnitude 16. What is the value of \b{Y}?

    Case 1:
    \b{X} + \b{Y} = 16
    8 + \b{Y} = 16
    \b{Y} = 8

    Case 2:
    \sqrt{\b{X}^2 + \b{Y}^2} = 16
    \b{X}^2 + \b{Y}^2 = 16^2
    \b{X}^2 + \b{Y}^2 = 256
    64 + \b{Y}^2 = 256
    \b{Y}^2 = 192
     \b{Y} = 8\sqrt{3}

    Confusion:
    Which case it it or is it something completely different? The wording is confusing me. Thanks in advance.
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  2. #2
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    Its basically asking 8+?=16

    So the first one. It wouldnt include pythag (Case 2) as it only contains 2 vectors, with no angles or hint of a vector being in a different direction.
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