# Math Help - vector fields

1. ## 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.

2. Originally Posted by Evan.Kimia
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 $\frac{1}{2}\vec{i}+\frac{1}{2}\vec{j}$