Find the distance between the point `P(6, 5, 9)`and the plane determined by the points `A (3, 1, 2)`, `B (5, 2, 4)`and `C( 1, 1, 6)`.

Explanation

To find the distance between the point \( P(6, 5, 9) \) and the plane determined by the points \( A(3, 1, 2) \), \( B(5, 2, 4) \), and \( C(1, 1, 6) \), we will follow these steps:

### Step 1: Find the equation of the plane determined by points A, B, and C.

The equation of a plane defined by three points \( A(x_1, y_1, z_1) \), \( B(x_2, y_2, z_2) \), and \( C(x_3, y_3, z_3) \) can be found using the determinant:

\[
\begin{vmatrix}
...