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Math Help - Length/unit vector

  1. #1
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    Length/unit vector

    For vector v=<3,2,-4>, how do you find the length and the unit vector in the same direction?
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  2. #2
    Super Member Gamma's Avatar
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    Iowa City, IA
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    Norm

    All you gotta do is divide the vector by its length.

    |\vec{v}|=(\vec{v} \cdot \vec{v})^{1/2}

    So for any vector \vec{v}, you know that \frac{\vec{v}}{|\vec{v}|} is a vector of unit length in the same direction as \vec{v} you just multiplied it by a scalar to adjust its length to be 1.
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