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Math Help - 3D vector problem

  1. #1
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    Feb 2009
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    3D vector problem

    Find the position vector of a point A such that OA is inclined to OX at 60 degrees and to OY at 45 degrees and ||OA|| = 10
    units
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  2. #2
    Newbie
    Joined
    May 2010
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    You can use the cosines of the vector to determine the answer and then just scale it by 10,



    x/L = cos(\alpha)=cos(60)
    x=L*sqrt(3)/2

    y/L = cos(\beta)=cos(45)
    y=L*1/sqrt(2)

    and L = 10,

    OA = 10*sqrt(3)/2 i + 10*1/sqrt(2) j
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