how the components of the tensor and two vectors change as the coordinate system rotates while the final scalar value remains invariant

While the components of the tensor and vectors change as the coordinate system rotates, the final scalar value calculated from them remains constant. This demonstrates the defining property of a type (0,2) tensor: its components transform in a way that perfectly compensates for the changes in the vectors, ensuring that the physical quantity it represents is independent of the coordinate system chosen.

🎬Demo

https://youtu.be/SIU0vb0qSW0

🏗️Structural clarification of Poof and Derivation

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%% Proof and Derivation

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🗒️Downloadable Files - Recursive updates

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Copyright Notice

All content and images on this page are the property of Sayako Dean, unless otherwise stated. They are protected by United States and international copyright laws. Any unauthorized use, reproduction, or distribution is strictly prohibited. For permission requests, please contact [email protected]

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