If the electric field is given by `6hati+3hatj+4hatk`, calculate the electric flux through a surface area of 20 units lying in YZ-plane.

Explanation

To calculate the electric flux through a surface area of 20 units lying in the YZ-plane when the electric field is given by \( \vec{E} = 6 \hat{i} + 3 \hat{j} + 4 \hat{k} \), we can follow these steps:

### Step 1: Understand the Surface Area Orientation
The surface area is lying in the YZ-plane. This means that the normal vector (area vector) to the surface will be in the direction of the X-axis.

### Step 2: Define the Area Vector
Since the area is 20 units and it lies in the YZ-plane, the area vector \( \vec{A} \) can be defined as:
\[
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