Find the vector equation of a plane passing through a point having position vector `2 hat i- hat j+ hat k` and perpendicular to the vector `4 hat i+2 hat j-3 hat kdot`

Explanation

To find the vector equation of a plane passing through a given point and perpendicular to a specified vector, we can follow these steps:

### Step 1: Identify the given information
We have:
- A point \( A \) with position vector \( \mathbf{a} = 2\hat{i} - \hat{j} + \hat{k} \)
- A normal vector \( \mathbf{n} = 4\hat{i} + 2\hat{j} - 3\hat{k} \)

### Step 2: Write the general equation of the plane
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