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Thread: Vector Magnitude

  1. #1
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    Vector Magnitude

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

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

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

    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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