Product Identity for Dummies
If your scalar triple product is equal to zero, then the three vectors a, b, and c are coplanar, since the parallelepiped defined by them might be flat and have no volume.
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These formulation are really handy in simplifying vector calculations in physics. A similar identity about gradients and valuable in vector calculus is Lagrange's components of vector cross-product identity:
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With any luck , there'll be content from other sourcebooks unveiled beneath the OGL Down the road. When that happens, you could be confident that I will include it on This web site.
What this means is the product is negated If your orientation is reversed, as an example by a parity transformation, and so is more appropriately called a pseudoscalar When the orientation can modify.
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