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Math Help - vector sketching

  1. #1
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    vector sketching

    i am trying to figure these out but my answer are marked wrong.
    my teacher wont explain it to me.

    according to my textbook the projvu= [ (u dot v)/(v dot v) ] times v

    consider the vectors u and v shown below
    vector sketching-vectors.jpg

    a) sketch projuv
    this would be the projection of v onto u

    my answer was the red vector below
    vector sketching-.jpg


    b) sketch u-projvu
    i put this as the answer and the teacher said that it wasn't completely wrong but there's something missing
    vector sketching-b.jpg


    c) determine the exact value of (u-projvu) dotted with v. show work.
    i have no idea what to do here. i know that the projection of u onto v = [ (u dot v)/(v dot v) ] times v
    but i dont know what to do after that
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  2. #2
    MHF Contributor
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    Quote Originally Posted by jean91890 View Post
    [ (u dot v)/(v dot v) ] times v
    It may make a little more sense if you write it like this: (u\circ v)\cdot\frac{v}{(v\circ v)}

    Perhaps this: (u\circ v)\cdot\frac{v}{||v||}}
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