Find the equation of the line passing through the point `(1,-1,1)` and perpendicular to the lines joining the points `(4,3,2),(1,-1,0)a n d(1,2,-1),(2,1,1)dot`

Explanation

To find the equation of the line passing through the point \( (1, -1, 1) \) and perpendicular to the given lines, we will follow these steps:

### Step 1: Find the direction ratios of the given lines

1. **First Line**: The line joining the points \( (4, 3, 2) \) and \( (1, -1, 0) \).
- Direction ratios can be calculated as:
\[
\text{Direction Ratios} = (1 - 4, -1 - 3, 0 - 2) = (-3, -4, -2)
...