Find the equation in Cartesian form of the plane passing through the point `(3,\ -3,\ 1)` and normal to the line joining the points (3, 4, -1) and (2, -1, 5).

Explanation

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

### Step 1: Find the direction ratios of the line joining the two points
The direction ratios of the line can be found using the formula:
\[ \text{Direction Ratios} = (x_2 - x_1, y_2 - y_1, z_2 - z_1) \]
For the points \( (3, 4, -1) \) and \( (2, -1, 5) \):
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