Electric field in a region is given by `E=(2hati+3hatj-4hatk)V//m`. Find the potential difference between points (0, 0, 0) and (1,2,3) in this region.

Explanation

To find the potential difference between the points (0, 0, 0) and (1, 2, 3) in the given electric field \( E = (2\hat{i} + 3\hat{j} - 4\hat{k}) \, \text{V/m} \), we can follow these steps:

### Step 1: Determine the displacement vector \( \mathbf{d} \)

The displacement vector \( \mathbf{d} \) from point \( A(0, 0, 0) \) to point \( B(1, 2, 3) \) is calculated as:
\[ \mathbf{d} = (1 - 0)\hat{i} + (2 - 0)\hat{j} + (3 - 0)\hat{k} = \hat{i} + 2\hat{j} + 3\hat{k} \]
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