# 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.

{% embed url="<https://youtube.com/shorts/cSaZJdD9FKE?feature=share>" %}

{% embed url="<https://viadean.notion.site/The-Polar-Tensor-Basis-in-Cartesian-Form-2711ae7b9a3280f09a6ff6c3cc1ef784?source=copy_link>" %}