`ABCD` is a parallelogram, and `a,b,c` and `d` are the position vector of vertices `A,B,C` and `D` of a parallelogram choose the correct option.

Options

A. `c+b=d-a`
B. `c-b=d-a`
C. `c-c=d-a`
D. None of these

Explanation

To solve the problem regarding the parallelogram ABCD with position vectors \( \mathbf{a}, \mathbf{b}, \mathbf{c}, \) and \( \mathbf{d} \) for vertices A, B, C, and D respectively, we need to analyze the relationships between these vectors.

### Step-by-Step Solution:

1. **Understanding the Position Vectors**:
- Let the position vectors of the vertices be defined as follows:
- \( \mathbf{a} \) = Position vector of vertex A
- \( \mathbf{b} \) = Position vector of vertex B
...