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Point where two lines meet, then its distance from a third line

The same question, asked 2 times: 27 Jan 2024*, 4 Apr 2024. Every wording below, oldest first.

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  1. Question 1

    27 Jan 2024

    179
    The lines x−22=y−2=z−716\frac{x- 2}{2}=\frac{y}{- 2}=\frac{z- 7}{16} and x+34=y+23=z+21\frac{x+ 3}{4}=\frac{y+ 2}{3}=\frac{z+ 2}{1} intersect at the point PP. If the distance of PP from the line x+12=y−13=z−11\frac{x + 1}{2}=\frac{y - 1}{3}=\frac{z - 1}{1} is ll, then 14l214l^{2} is equal to.......

  2. Question 2

    4 Apr 2024

    170
    Let PP be the point of intersection of the lines x−21=y−45=z−21\frac{x - 2}{1}=\frac{y - 4}{5}=\frac{z - 2}{1} and  x−32=y−23=z−32\ \frac{x - 3}{2}=\frac{y - 2}{3}=\frac{z - 3}{2}. Then, the shortest distance of PP from the line 4x=2y=z4x = 2y = z is

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