Matrix Z-Rotation

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

Calculate matrix 4x4 rotation Z

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

Z-axis rotation calculator

Rotation angle for Z
Unit of the angle
Rotation mode
Optional vector X
Optional vector Y
Optional vector Z
Decimal places
M11 M12 M13 M14
  M21   M22   M23   M24
  M31   M32   M33   M34
  M41   M42   M43   M44

Description of the matrix Z 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 Z-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 Z-axis

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