Matrix Z-Rotation

Calculator for the rotation of a 3x3 matrix around the Z axis

To perform the calculation, enter the rotation angle. Then click the button 'Calculate'

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

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

Z-axis rotation calculator

Input

Rotation angle for Z

Unit of the angle

Rotation mode

Decimal places

Result

M11   M12   M13

  M21   M22   M23

  M31   M32   M33

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

Matrix 3x3 Functions

Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation quaternion • Y, P, R Rotation Euler angles • Invert • Determinant

Matrix 4x4 Functions

Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation • Vector Rotation • Invert • Determinant • interpolation

Quaternion Functions

Addition • Subtraction • Division • Multiplication • Concatenate • Length • Interpolation • Normalize • Scalar Multiplication • Dot Product • Yaw-Pitch-Roll

More Vector Functions

Addition • Subtraction • Multiplication • Scalar Multiplication • Division • Scalar Division • Dot Product • Cross Product • Interpolation • Distance • Distance Squaret • Normalization • Reflection • Magnitude • Squared-Magnitude • Triple-Product

Is this page helpful?

Thank you for your feedback!

Sorry about that
How can we improve it?