2011 June 29 | Quantum Science Philippines
Quantum Science Philippines

Archive for June 29th, 2011

Proving Vector Identity Involving the Unit Vector Using the Levi-Civita and the Kronecker Delta

Wednesday, June 29th, 2011

*author: Michelle R. Fudot   Prove: ___________________________________________________________ Proof: First, we define the following vectors as: ; ; and Now,  if we let i=k, then . Furthermore, Now, the derivative of orthonormal basis , that is, and the derivative of a coordinate X, . Also, , thus = = = = It is noted that . […]

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Vector Analysis

Wednesday, June 29th, 2011

Prove: where:     Sol’n:   then:             or      

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Curl of the Gradient of a Scalar

Wednesday, June 29th, 2011

proof that the curl of the gradient of a scalar function is equal to zero let and

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