If \overset{\rightarrow}{\tau} \times \overset{\rightarrow}{L} = 0 for a rigid body, where \overset{\rightarrow}{\tau} = resultant torque & \overset{\rightarrow}{L} = angular momentum about a point and both are non-zero. Then :

Engineering

Physics

Newtons Second Law of Motion

Angular Momentum and Conservation of Angular Momentum

Torque on a Current Loop

Question

If $\vec{τ} \times \vec{L} = 0$ for a rigid body, where $\vec{τ}$ = resultant torque & $\vec{L}$ = angular momentum about a point and both are non-zero. Then :

$| \vec{L} |$ may increase

$\vec{L}$ = constant

$| \vec{L} |$ will increase

$| \vec{L} |$ = constant

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$\vec{τ} \times \vec{L} = 0$
⟹ τ is parallel or anti parallel.