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Math Help - Orthogonal, Parallel, or Neither

  1. #1
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    Orthogonal, Parallel, or Neither

    Determine whether u and v are orthogonal, parallel, or neither:
    u = (3/4)i - (1/2)j + 2k
    v = 4i + 10j + k

    I am really confused. Any help is appreciated.
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  2. #2
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    Quote Originally Posted by iluvmathbutitshard View Post
    Determine whether u and v are orthogonal, parallel, or neither:
    u = (3/4)i - (1/2)j + 2k
    v = 4i + 10j + k

    I am really confused. Any help is appreciated.
    1. Two vectors \vec u and \vec v are parallel if you can find a real number r such that

    \vec u = r \cdot \vec v

    2. Two vectors \vec u and \vec v are perpendicular if the following equation is true

    \vec u  \cdot \vec v = 0

    otherwise they are skewed(?).
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  3. #3
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    Quote Originally Posted by earboth View Post
    1. Two vectors \vec u and \vec v are parallel if you can find a real number r such that

    \vec u = r \cdot \vec v

    2. Two vectors \vec u and \vec v are perpendicular if the following equation is true

    \vec u  \cdot \vec v = 0

    otherwise they are skewed(?).
    Just "otherwise they are skew."
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