Question

6. (a) State and prove Stoke's Theorem​

Answer 1

here is yøur answer

⭐☆Proof of Stokes' Theorem

Proof of Stokes' Theorem So if we define a 2-dimensional vector field G = (G1,G2) on the st-plane by G1 = F · ∂ r ∂s and G2 = F · ∂ r ∂t , then ∫BF · d r = ∫CG · d s , using s to denote the position vector of a point in the st-plane. ∂s × ∂ r ∂t ds dt.☆⭐

Answer 2

Step-by-step explanation:

Stokes Theorem (also known as Generalized Stoke’s Theorem) is a declaration about the integration of differential forms on manifolds, which both generalizes and simplifies several theorems from vector calculus. As per this theorem, a line integral is related to a surface integral of vector fields. Learn the stokes law here in detail with formula and proof.