Find the equation of a line which passes through the point `(1,1,1)` and intersects the lines `(x-1)/2=(y-2)/3=(z-3)/4a n d(x+2)/1=(y-3)/2=(z+1)/4dot`

Explanation

To find the equation of a line that passes through the point \( (1, 1, 1) \) and intersects the given lines, we will follow these steps:

### Step 1: Identify the equations of the given lines

The first line is given by:
\[ \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4} \]
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