3D Rotation Matrix Calculator (X-axis)
Visualize and calculate rotation matrices around the X-axis. Enter an angle and see the transformation instantly!
Input Angle
Enter the angle of rotation and choose the units.
Rotation Matrix (X-axis):
Visualization
Observe the rotation in 2D space. Blue vector represents the initial direction, and red vector shows the rotated direction after applying the X-axis rotation.
Understanding 3D Rotation Matrices (X-axis)
In 3D space, a rotation matrix is used to perform rotations about an axis. For rotations around the X-axis, the matrix transforms vectors in such a way that only the y and z coordinates are altered, while the x-coordinate remains unchanged. This tool helps you generate this specific type of rotation matrix given an angle. It's commonly used in computer graphics, robotics, and linear algebra to manipulate objects and coordinate systems in 3D space. For instance, in game development, these matrices are essential for rotating objects realistically.
- Formula: The general form of a rotation matrix around the X-axis is provided in the output.
- Usage: Input an angle in degrees or radians to calculate the corresponding rotation matrix.
- Visualization: See a graphical representation of the rotation applied to a 2D vector.