🎬The polar coordinate tangent vectors depend on Cartesian basis vectors

The animation visually demonstrates that the polar basis vectors $E_r$ and $E_\theta$ change direction as the angle $\theta$ varies, unlike the constant Cartesian basis vectors. This highlights how polar coordinates adapt to position, making them ideal for problems with rotational symmetry.

The Polar Tensor Basis in Cartesian Form | Proof and Derivationviadean on Notion