Rotate

Rotate is a term used in various fields such as mathematics, computer graphics, physics, and engineering. It refers to the movement of an object around a center or axis. In a two-dimensional space, rotation can occur around a point, while in a three-dimensional space, rotation can occur around a line.

Mathematics

In mathematics, rotation is a concept in geometry where an object is moved around a point by a certain angle. This is often represented using rotation matrices or complex numbers.

Rotation Matrices

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space. It is an orthogonal matrix, meaning its rows and columns are orthogonal unit vectors.

Complex Numbers

In the context of complex numbers, rotation is equivalent to multiplying a complex number by a unit complex number on the complex plane.

Computer Graphics

In computer graphics, rotation is used to manipulate images or shapes. This is achieved through the use of transformation matrices, which include rotation matrices.

Physics

In physics, rotation is the movement of a body around a center of rotation. A three-dimensional object can rotate about an infinite number of lines. These lines are called axes of rotation.

Engineering

In engineering, rotation is a key concept in the design and operation of many types of machinery, such as engines and turbines. It is also crucial in the study of mechanics, particularly in understanding the behavior of rotating bodies.

See Also

• Rotation (mathematics)
• Rotation (physics)
• Rotation matrix
• Transformation matrix
• Complex number