Proof of Jacobi's Identity - Maple Application Center
Application Center Applications Proof of Jacobi's Identity

Proof of Jacobi's Identity

Author
: Laurie Lacey
Engineering software solutions from Maplesoft
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Calculus III is one of the first courses where students are introduced to proofs. Often the algebraic proofs concerning vectors can be stressful for the students. Moreover, students tend to substitute numbers in for the vector components and "prove" the theorem by example rather than in generality.

We use Maple to help us prove Jacobi's Identity: Jacobi's Identity: Given vectors u , v , and w in R3, u x ( v x w ) + v x ( w x u ) + w x ( u x v ) = 0 .

Application Details

Publish Date: August 14, 2002
Created In: Maple 8
Language: English

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