Vector Field / Integral
Posted on 2008-09-29
A vector field is given as G = [25/(x^2 + y^2)](xa_x + ya_y), where a_x and a_y are unit vectors along the x and y axis respectively. Find the value of the double integral on the plane y = 7.
I'm a little confused as I have no limits of integration. I thought that if I possibly convert to cylindrical coordinates I might get a simpler version that would yield the limits of integration. However, I'm not entirely sure how I would convert this to cylindrical if necessary. I know x = r cos(phi), y = r sin(phi) and z = z, however, how do I convert the unit vectors?
Any help in the correct direction would be appricated.