# Matrix Y-Rotation

Online computer calculates the rotation of a 4x4 matrix around the Y axis

## Calculate matrix 4x4 rotation Y

The active matrix rotation (rotating object) or the passive matrix rotation (rotating coordinates) can be calculated

For the passive matrix rotation, the vector of a center for the rotation can optionally be specified

The unit of measurement for the angle can be switched between degrees or radians

Y-axis rotation calculator

 Input Rotation angle for Y Unit of the angle Degree Radians Rotation mode Active Passive Optional vector X Optional vector Y Optional vector Z
 Decimal places 0 1 2 3 4 6 Result M11 M12 M13 M14 M21 M22 M23 M24 M31 M32 M33 M34 M41 M42 M43 M44

## Description of the matrix Y axis rotation

The matrix rotation distinguishes between active and passive rotation.

### Active Rotation

With active rotation, the vector or the object is rotated in the coordinate system. The active rotation is also called a geometric transformation. The rotation is counterclockwise.

Example of a 90 ° rotation of the Y-axis  ### Passive rotation

With passive rotation, the coordinate system is rotated. The vector remains unchanged. The rotation is clockwise.

Example of a 90 ° rotation of the Y-axis  