3Drotationer

3D rotationer refers to the transformation of an object or coordinate system in three-dimensional space around an axis. This process alters the orientation of the object without changing its size or shape. In computer graphics, animation, and physics simulations, 3D rotationer are fundamental operations. There are several common ways to represent rotations. Euler angles define a sequence of rotations around the principal axes (X, Y, and Z). While intuitive, Euler angles can suffer from gimbal lock, a phenomenon where a degree of freedom is lost. Quaternions offer an alternative representation that avoids gimbal lock and is often more computationally efficient for interpolating between rotations. Rotation matrices, which are 3x3 matrices, can also represent 3D rotationer. Applying a rotation matrix to a vector transforms its coordinates. The choice of representation depends on the specific application and desired properties. Understanding 3D rotationer is crucial for manipulating objects in virtual environments and solving problems involving orientation in three dimensions.