3D Rotation Converter

Convert direction cosine matrices, quaternions, six distinct-axis Euler sequences, and axis-angle representations. The interactive converter requires JavaScript; the complete technical reference does not.

How to use this tool

Choose a representation, Passive or Active convention, and input units.
Enter a matrix row-by-row, a quaternion in x, y, z, w order, or angles in the selected sequence.
Convert and check the matrix determinant, orthogonality, and Euler singularity warnings.
Inspect the visualization and copy numerical output with explicit units and component order.

Read the complete instructions · Verified worked examples · Rotation representations · Active/passive conventions and frame mappings · Normalization and numerical checks · About · Contact · Privacy