Two particles mass 100g and 300g at a given time have velocities `10hati - 7hatj - 3hatk` and `7hati - 9hatj + 6hatk ms^(-1)` respectively. Determine velocity of COM.

Explanation

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

### Step 1: Identify the given data
- Mass of particle 1 (m1) = 100 g = 0.1 kg (since we need to convert grams to kilograms)
- Mass of particle 2 (m2) = 300 g = 0.3 kg
- Velocity of particle 1 (v1) = \( 10\hat{i} - 7\hat{j} - 3\hat{k} \) m/s
- Velocity of particle 2 (v2) = \( 7\hat{i} - 9\hat{j} + 6\hat{k} \) m/s

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