The velocities of three particles of masses 20 g, 30 g and 50 g are `10hat`i, `10hatj` and `10hatk` respectively. The velocity of the centre of mass of the three particles is

Explanation

To find the velocity of the center of mass (COM) of the three particles, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Masses and Velocities**:
- Mass of particle 1, \( m_1 = 20 \, \text{g} \) with velocity \( \vec{v_1} = 10 \hat{i} \, \text{m/s} \)
- Mass of particle 2, \( m_2 = 30 \, \text{g} \) with velocity \( \vec{v_2} = 10 \hat{j} \, \text{m/s} \)
- Mass of particle 3, \( m_3 = 50 \, \text{g} \) with velocity \( \vec{v_3} = 10 \hat{k} \, \text{m/s} \)
...