The electric field in a certain region of space is `( 5 hat(i) 4 hat(j) - 4 hat(k)) xx 10^(5) [ N //C]` . Calculate electric flux due to this field over an area of `( 2 hat(i) - hat(j)) xx 10^(-2) [ m^(2)]`

Explanation

To calculate the electric flux due to the given electric field over the specified area, we can follow these steps:

### Step 1: Identify the electric field and area vector
The electric field \( \mathbf{E} \) is given as:
\[ \mathbf{E} = (5 \hat{i} + 4 \hat{j} - 4 \hat{k}) \times 10^5 \, \text{N/C} \]
The area vector \( \mathbf{A} \) is given as:
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