The foot of perpendicular drawn from the origin to the plane is `(4,-2,-5)dot` Find the equation of the plane.

Explanation

To find the equation of the plane given that the foot of the perpendicular from the origin to the plane is the point \( (4, -2, -5) \), we can follow these steps:

### Step 1: Identify the point on the plane
The point where the perpendicular from the origin meets the plane is given as \( (4, -2, -5) \). This point lies on the plane.

### Step 2: Determine the normal vector
The direction ratios of the normal to the plane can be derived from the coordinates of the foot of the perpendicular. The normal vector \( \vec{n} \) can be represented as:
\[
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