Ask AI: Can you use quaternions in Cartesian space

Yes, you can use quaternions in Cartesian space; they are frequently used in 3D space (which is Cartesian) for operations such as rotations. Quaternions consist of a scalar part and a 3D vector part, so each quaternion can represent a point in Cartesian space. However, quaternions are not limited to just representing points in space, they can also be used to represent orientations and rotations, which makes them very useful for things like 3D game development, computer graphics, and physics simulations. By using quaternions to represent rotations, there are various benefits such as avoiding gimbal lock and easier interpolations (slerp). But do consider that operations with quaternions may seem non-intuitive if you are used to the Cartesian coordinate system. It requires understanding of some complex math including imaginary numbers.