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Quaternion Calculator — Free Online Tool
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Quaternion Calculator

Perform operations on quaternion $q = w + xi + yj + zk$

Formula: A quaternion is expressed as $q = w + xi + yj + zk$. The norm is $\Vert{}q\Vert{} = \sqrt{w^2 + x^2 + y^2 + z^2}$, and conjugate is $q^* = w - xi - yj - zk$. Enter components below.
Quaternion q₁ Components
Quaternion q₂ Components (Optional for add/multiply)

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⚠️ For educational purposes only. Verify results with a qualified professional when making important decisions.

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