Show that the points `A(0,4,3) , B(-1,-5,-3), C(-2,-2,1)` and `D(1,1,1)` are coplanar. Also find the equation of the plane in which these points lie.

Explanation

To determine if the points A(0, 4, 3), B(-1, -5, -3), C(-2, -2, 1), and D(1, 1, 1) are coplanar, we can follow these steps:

### Step 1: Use the Determinant Method
We will use the determinant method to find the equation of the plane formed by points A, B, and C. The equation of the plane can be derived from the determinant of the following matrix:

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