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The angular momentum \(\Vect{L}\) of a particle relative to a point of origin is a measure of its rotational motion. It is defined by the vector product of the particle's position vector \(\Vect{r}\) and its linear momentum vector \(\Vect{p}\), where \(\Vect{p} = m\Vect{v}\).$$ \Vect{L} = \Vect{r} \times \Vect{p} $$A particle of mass \(m=3\) kg is at position \(\Vect{r} = \begin{pmatrix} 2 \\ 2 \\ 0 \end{pmatrix}\) m and is moving with a velocity \(\Vect{v} = \begin{pmatrix} 0 \\ 4 \\ 0 \end{pmatrix}\) m/s.
Calculate the angular momentum vector \(\Vect{L}\) of the particle. The units will be kg·m²/s.
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