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Math Help - vector fields

  1. #1
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    vector fields

    Going over vector fields and i was wondering how they got the solution to the following problem (#1):



    There is no x or y, so how would i be able to plot points to sketch the field?

    solution:



    thanks.
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  2. #2
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    Quote Originally Posted by Evan.Kimia View Post
    Going over vector fields and i was wondering how they got the solution to the following problem (#1):



    There is no x or y, so how would i be able to plot points to sketch the field?

    solution:



    thanks.
    It may be helpful to remember that a vector field assigns a vector to each point in \mathbb{R}^2

    So in your case what it is saying is

    \vec{F}(x,y)=\frac{1}{2}(\vec{i}+\vec{j}) this is telling you that the x component of the vector is x=\frac{1}{2} and the y component is y =\frac{1}{2}

    So for any point in space (the vector field does not depend of x or y) the vector at that point is \frac{1}{2}\vec{i}+\frac{1}{2}\vec{j}
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