Interactive Physics Lab
Interactive Simulation: Tensor Transformation of a Vector
Move the slider to observe how a vector transforms under rotation. The magnitude remains invariant while components change according to tensor transformation laws.
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- Drag the vector U.
- Change rotation angle θ using the slider.
- Observe that vector magnitude remains constant.
- Compare matrix transformation with geometric rotation.
Physics Behind the Simulation
This interactive module demonstrates how vector quantities such as velocity transform under rotation of coordinate systems. The transformation matrix represents a tensor operation preserving physical invariants such as magnitude.