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Find the equation of a line passing through `(1,-1,0)` and parallel to the line `(x-2)/3=(2y+1)/2=(5-z)/1`

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Given
` frac{x-2}{3}=frac{2 y+1}{2}=frac{5-z}{-1} `

`Rightarrow frac{x-2}{3}=frac{2(y+1 / 2)}{2}=frac{2-5}{1}`

direction cosines are` (l, m, n)=(3,1,1)`

Equation of line passing through `(1,-1,0)` is

`frac{x-1}{3}=frac{y+1}{1}=frac{z-0}{1} `

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