Homework Statement
Homework Equations
The Attempt at a Solution
I can't understand what is ɛ in this problem, and why should we adopt it. Could you explain me please?
Homework Statement
Homework Equations
The Attempt at a Solution
I solved #2,4 but I don't understand what #1,3 need to me. I know that scalar field is a function of points associating scalar value. But how can I prove some function is scalar field or vector field?
Homework Statement
Homework Equations
The Attempt at a Solution
I could find how to solve #2,4, but I don't understand what #1,3 need to me. How can I prove some functions are scalar field or vector field?
Homework Statement
Let us consider three scalar fields u(x), v(x), and w(x). Show that they have a relationship such that f(u, v, w) = 0 if and only if
(∇u) × (∇v) · (∇w) = 0.
Homework Equations
The Attempt at a Solution
I could think nothing...