If ` vec A , vec B and vec C` are non-zero vectors and ` vec A. vec B=0 and vec B. vec C=0`, then find out the value ` vec A .vec B`

Explanation

To solve the problem, we need to analyze the given information about the vectors A, B, and C.

### Step-by-Step Solution:

1. **Understanding the Given Information**:
We are given that:
\[
\vec{A} \cdot \vec{B} = 0
...