If all the particles of a system lie in y-z plane, the x-coordinate of the centre of mass will be zero. Is this statement true or false?

Explanation

To determine whether the statement "If all the particles of a system lie in the y-z plane, the x-coordinate of the centre of mass will be zero" is true or false, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding the y-z Plane**:
- The y-z plane is defined as the plane where the x-coordinate of any point is zero. This means that all particles in this plane have their x-coordinates equal to zero.

2. **Definition of Centre of Mass**:
...