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Find the equation of a line which pas...

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`

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To find the equation of a line that passes through the point \((1, 1, 1)\) and intersects the given lines, we can follow these steps: ### Step 1: Identify the equations of the given lines The two lines are given in symmetric form: 1. Line 1: \(\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}\) 2. Line 2: \(\frac{x + 2}{1} = \frac{y - 3}{2} = \frac{z + 1}{4}\) ### Step 2: Parameterize the lines ...
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