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Consider a particle of mass $m$ having linear momentum $\vec p$ at position $\vec r$ relative to the origin $O$ . Let $\vec L$ be the angular momentum of the particle with respect the origin. Which of the following equations correctly relate $(s)\, \vec r,\,\vec p$ and $\vec L$ ?

• A
  $\frac{{d\vec L}}{{dt}} + \vec r\, \times \frac{{\overrightarrow {dp} }}{{dt}} = 0$
• B
  $\frac{{d\vec L}}{{dt}}\, + \,\frac{{\overrightarrow {dr} }}{{dt}} \times \vec p = 0$
• C
  $\frac{{d\vec L}}{{dt}}\, - \,\frac{{\overrightarrow {dr} }}{{dt}} \times \vec p = 0$
• ✓
  $\frac{{d\vec L}}{{dt}}\, - \vec r \times \frac{{\overrightarrow {dp} }}{{dt}} = 0$