Find the equation of the plane passing through the point `(1,2,1)` and perpendicular to the line joining the points `(1,4,2)a n d(2,3,5)dot` find also the perpendicular distance of the origin from this plane.

Explanation

To find the equation of the plane passing through the point \( (1, 2, 1) \) and perpendicular to the line joining the points \( (1, 4, 2) \) and \( (2, 3, 5) \), we can follow these steps:

### Step 1: Find the direction vector of the line
The direction vector of the line joining the points \( (1, 4, 2) \) and \( (2, 3, 5) \) can be calculated by subtracting the coordinates of the first point from the second point.

\[ \text{Direction vector} = (2 - 1, 3 - 4, 5 - 2) = (1, -1, 3) \]
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