The instantaneous velocities of two particles of masses 200 g and 400 g at a given time are `12hati-7hatj-5hatk` m/s and `8hati-9hatj-5hatk` m/s, respectively. Calculate the instantaneous velocity of the centre of mass of the system.

Explanation

To find the instantaneous velocity of the center of mass of the system, we can use the formula:

\[ \vec{V}_{cm} = \frac{m_1 \vec{v}_1 + m_2 \vec{v}_2}{m_1 + m_2} \]

where:
- \( m_1 \) and \( m_2 \) are the masses of the two particles,
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