*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 . [...]
Archive for June 29th, 2011
Proving Vector Identity Involving the Unit Vector Using the Levi-Civita and the Kronecker Delta
Wednesday, June 29th, 2011
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Vector Analysis
Wednesday, June 29th, 2011Prove: where: Sol’n: then: or Share and Enjoy:
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Curl of the Gradient of a Scalar
Wednesday, June 29th, 2011proof that the curl of the gradient of a scalar function is equal to zero let and Share and Enjoy:
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