Show that the angular momentum about any point of a single particle moving with constant velocity remains constant throughout the motion.

Explanation

To show that the angular momentum about any point of a single particle moving with constant velocity remains constant throughout the motion, we can follow these steps:

### Step 1: Define the Angular Momentum
The angular momentum \( \mathbf{L} \) of a particle about a point \( O \) is given by the formula:
\[ \mathbf{L} = \mathbf{r} \times \mathbf{p} \]
where \( \mathbf{r} \) is the position vector from point \( O \) to the particle, and \( \mathbf{p} \) is the linear momentum of the particle.
...