Given an example for which `vecA.vecB=vecC.vecB but vecA!=vecC`.

Explanation

To solve the problem, we need to find vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) such that:

1. \(\vec{A} \cdot \vec{B} = \vec{C} \cdot \vec{B}\)
2. \(\vec{A} \neq \vec{C}\)

### Step-by-Step Solution:

1. **Define the Vectors**:
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