Recent content by bla1089

Let F[u,v] = uv ∇F = u∇v + v∇u Repeat the cross products? I guess I'm lost on the starting point to demonstrate sufficiency.

1.a. Show that ∇F[u(x,y,z),v(x,y,z)] = Fu∇v + Fv∇u 1.b. Show that a necessary and sufficient condition that u and v are functionally related by the equation F(u,v) = 0 is ∇u x ∇v = 0 Homework Equations ∇ = \frac{\partial}{\partial x}\widehat{i} + \frac{\partial}{\partial y}\widehat{j} +...