Find the ratio in which the line segment joining the points (2,-1,3) and (-1,2,1) is divided by the plane `x+y+z=5.`

Explanation

To find the ratio in which the line segment joining the points \( A(2, -1, 3) \) and \( B(-1, 2, 1) \) is divided by the plane \( x + y + z = 5 \), we will follow these steps:

### Step 1: Determine the coordinates of points A and B
The coordinates of the points are:
- \( A(2, -1, 3) \)
- \( B(-1, 2, 1) \)

### Step 2: Set up the parametric equations for the line segment
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