The discussion centers on proving the vector calculus identity (∇ x A) x A = (A.∇)A - 1/2∇Modulus(A²). Participants suggest expanding both sides using the Del operator and the cross product, indicating that the proof involves extensive vector algebra. A participant expresses difficulty in achieving the required factor of 1/2 in the term involving Modulus(A²), questioning the distinction between A² and Modulus(A²). The conversation highlights the complexity of vector calculus proofs and the importance of understanding the underlying operations.
PREREQUISITESStudents and professionals in mathematics, physics, and engineering who are engaged in vector calculus and require a deeper understanding of vector identities and their proofs.
SteamKing said:Calcululus - lu = Calculus
Have you tried expanding out both sides according to the definition of the Del operator and the cross product?
It looks like a moderately long slog thru vector algebra after that point.