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Math Help - Vector Projection Problem

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    Vector Projection Problem

    Find another vector that has the same projection onto v=<1,1> as u=<1,2>.
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    Re: Vector Projection Problem

    Quote Originally Posted by jessicadowning View Post
    Find another vector that has the same projection onto v=<1,1> as u=<1,2>.
    The vector projection of u onto v

    \frac{u \cdot v}{||v||^2}v=\frac{3}{2}<1,1>

    Now pick an arbitary vector w=<a,b>

    \frac{w \cdot v}{||v||^2}v=\frac{a+b}{2}<1,1>

    If you compare these two vectors we see that

    a+b=3 \iff a=3-b

    So the vector is <3-b,b>

    This will work for any choice of b

    P.S go Beavs!!
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