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Line through a point perpendicular to two lines with direction ratios 1, 2, 3 and -3, 2, 5

The same question, asked 2 times: 2 May 2023 S1*, 11 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    136
    The equation of the line passing through the point (−1,3,−2)(-1, 3, -2) and perpendicular to each of the lines x1=y2=z3\dfrac{x}{1} = \dfrac{y}{2} = \dfrac{z}{3} and x+2−3=y−12=z+15\dfrac{x+2}{-3} = \dfrac{y-1}{2} = \dfrac{z+1}{5}, is

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  2. Question 2

    11 May 2023 S1

    130
    The equation of the line passing through the point (3,1,2) and perpendicular to the lines x−11=y−22=z−33\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3} and x−3=y2=z5\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} is

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