Find the equation of the plane passing through the point `(2,3,1)` having `(5,3,2)` as the direction ratio is of the normal to the plane.

Explanation

To find the equation of the plane passing through the point \( (2, 3, 1) \) with the direction ratios of the normal being \( (5, 3, 2) \), we can follow these steps:

### Step 1: Understand the equation of a plane
The general equation of a plane in three-dimensional space can be expressed as:
\[ a(x - x_0) + b(y - y_0) + c(z - z_0) = 0 \]
where \( (x_0, y_0, z_0) \) is a point on the plane, and \( (a, b, c) \) are the direction ratios of the normal to the plane.
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