Find the equation of plane passing through three points A(0, 1, 2), B(3, 4, -1), C(2, 4, 2) in Cartesian form.

Explanation

To find the equation of the plane passing through the points A(0, 1, 2), B(3, 4, -1), and C(2, 4, 2) in Cartesian form, we can use the determinant method. Here’s a step-by-step solution:

### Step 1: Set Up the Determinant
We can use the formula for the equation of a plane given three points (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3):

\[
\begin{vmatrix}
x - x_1 & y - y_1 & z - z_1 \\
...