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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीUnder a parity inversion transformation (reflection through the origin: \( x \to -x, y \to -y, z \to -z \)), how do the polar vector \( \vec{r} \) and the axial vector \( \vec{\tau} = \vec{r} \times \vec{F} \) transform respectively?
Correct answer · Option 3
\( \vec{r} \to -\vec{r} \) and \( \vec{\tau} \to \vec{\tau} \)
Explanation
Under reflection, polar vectors reverse sign (\( \vec{r} \to -\vec{r} \), \( \vec{F} \to -\vec{F} \)), while their cross product (axial vector) transforms as \( (-\vec{r}) \times (-\vec{F}) = \vec{r} \times \vec{F} = \vec{\tau} \), remaining unchanged.
