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Math Help - Vector Problem

  1. #1
    Newbie
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    Mar 2009
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    Vector Problem

    Hi,
    Find vectors v & w be such that v is orthogonal to u = (2, -1, 4), v + w = (-2, 3, 1) & w is parallel to u
    Thankyou in advance for any assistance provided.
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  2. #2
    Newbie jaco's Avatar
    Joined
    May 2009
    Posts
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    I think v=(-32/19,54/19,31/19) w=(-6/19,3/19,-12/19) is be the solution.

    you have to solve 4 equations simultaniously:
    w=a*(2,-1,4) for some a
    w=(2a,-a,4a)
    also let v=(x,y,z)
    v dot u=0 => 2x-y+4z=0
    if you now use that v+w=(-2,3,1) you have 4 equations and 4 unknowns.
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