🎬how the components of the tensor and two vectors change as the coordinate system rotates while the f

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.

Proof of a Tensor's Invariance Property | Proof and Derivationviadean on Notion