Answer:
The statement is:
b) False
Explanation:
The angular momentum
[tex]\( \mathbf{L} \)[/tex]
of a particle relative to a fixed point
[tex](such as the origin \( O \))[/tex]
is indeed defined as the cross product of the position vector \
[tex]( \mathbf{r} \)[/tex]
and the linear momentum vector
[tex]\( \mathbf{p} = m\mathbf{v} \),[/tex]
not the dot product.
Mathematically, the angular momentum
[tex]\( \mathbf{L} \) is given by:[/tex]
[tex]\[ \mathbf{L} = \mathbf{r} \times \mathbf{p} \][/tex]
Where:
[tex]- \( \mathbf{L} \) is the angular momentum vector,[/tex]
[tex]- \( \mathbf{r} \) is the position vector from the origin to the particle,[/tex]
[tex]- \( \mathbf{p} \) is the linear momentum vector of the particle (which is mass \( m \) times velocity \( \mathbf{v} \)),[/tex]
[tex]- \( \times \) represents the cross product operation.[/tex]
So, the correct statement is that the angular momentum of the particle is the cross-product of the position vector
[tex]\( \mathbf{r} \)[/tex]
and the linear momentum vector
[tex]\( \mathbf{mv} \).[/tex]
