Find `V_(ab)` in an electric fields `vec E = (2 hat I + 3 hat j + 4 hat k) NC^-1` where `vec r_a = (hat I - 2 hat j + hat k) m` and `vec r_b = (2 hat i + hat j - 2 hat k) m`.

Explanation

To find the electric potential difference \( V_{ab} \) between two points \( a \) and \( b \) in an electric field \( \vec{E} \), we can use the formula:

\[ V_{ab} = - \int_{b}^{a} \vec{E} \cdot d\vec{l} \]

### Step 1: Identify the given values
We have:
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