If `[ veca vecbvecc]=2` , then find the value of `[(veca+2vecb-vecc) (veca - vecb) (veca - vecb-vecc)]`

Explanation

To solve the problem, we need to find the value of the expression \([( \vec{a} + 2\vec{b} - \vec{c}) \cdot ( \vec{a} - \vec{b}) \times ( \vec{a} - \vec{b} - \vec{c})]\) given that \([\vec{a} \, \vec{b} \, \vec{c}] = 2\).

### Step-by-Step Solution:

1. **Understanding the Scalar Triple Product:**
The scalar triple product \([\vec{a} \, \vec{b} \, \vec{c}]\) can be expressed as \(\vec{a} \cdot (\vec{b} \times \vec{c})\). Given that this value is 2, we can use this information in our calculations.

2. **Rewrite the Expression:**
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