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  1. F

    Angular momentum in gravitational field

    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?
  2. F

    How to prove some functions are scalar field or vector field

    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?
  3. F

    Normal vector of curved surface

    Homework Statement Homework Equations The Attempt at a Solution I can understand it intuitively, but can't prove mathematically...Can you help me??
  4. F

    Relationship between electric potential and electric 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?
  5. F

    Identity by using gradient

    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...
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