Find the equation of the plane which passes through the point `(12,3)` and which is at the maxixum distance from the point `(-1,0,2)dot`

Explanation

To find the equation of the plane that passes through the point \( (12, 3) \) and is at the maximum distance from the point \( (-1, 0, 2) \), we can follow these steps:

### Step 1: Identify the given points
We have two points:
- Point A (the point through which the plane passes): \( A(12, 3, z) \) (we will determine \( z \) later)
- Point B (the point from which we want to maximize the distance): \( B(-1, 0, 2) \)

### Step 2: Understand the concept of distance from a point to a plane
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