The web-based interactive visualization that demonstrates how a 2D coordinate system transforms under rotation. The user can rotate a coordinate system using a slider, which dynamically updates the position of the rotated basis vectors . The visualization shows the original basis vectors in black and the rotated vectors in gray, with the angle of rotation clearly labeled. The entire visualization is a tool for dynamically exploring the concept of a 2D basis rotation.

<aside> <img src="/icons/profile_gray.svg" alt="/icons/profile_gray.svg" width="40px" />

$\complement\cdots$Counselor

</aside>

Two possible bases in two dimensions related by a rotation with an angle

Two possible bases in two dimensions related by a rotation with an angle