Find a vector function that represents the curve of intersection of the two surfaces.
The cylinder x^2 + y^2 = 4 and the surface z = xy.
What I do is make z = 0, then x^2 + y^2 = 4 is a circle and
xy = 0.
Then I make these equations equal each other.
x^2 + y^2 - 4 = xy and simplify
x^2 + y^2 - xy - 4 = 0
But now I can't seem to complete the square.
Any help would be appreciated.