Euler to Quaternion Converter
Convert Euler angles (roll, pitch, yaw) to quaternion representation
Euler Angles Input
Quaternion Result
Quaternion (w, x, y, z):
(1.000000, 0.000000, 0.000000, 0.000000)
w (scalar)
1.000000
x (i)
0.000000
y (j)
0.000000
z (k)
0.000000
Equivalent Axis-Angle
Rotation Axis
(0.0000, 0.0000, 1.0000)
Rotation Angle
0.0000°
About Euler to Quaternion Conversion
The conversion depends on the rotation order. Common conventions:
- ZYX (Tait-Bryan): Common in aerospace (yaw-pitch-roll)
- XYZ: Common in robotics
- ZXZ (Euler): Classic Euler angles
Quaternions avoid gimbal lock that occurs with Euler angles at certain configurations.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.