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How to draw the figure of $\frac{x-1}{2}=\frac{y-1}{3}=\frac{z-2}{3}$-type straight line

Discussion in 'Mathematics' started by Ordinary users68, Aug 2, 2020 at 2:25 AM.

  1. I'd like to draw the straight line that is expressed in symmetrical form directly: $\frac{x-1}{2}=\frac{y-1}{3}=\frac{z-2}{3}$

    ContourPlot3D[(x - 1)/2 == (y - 1)/3 == (z - 2)/3, {x, -5, 5}, {y, -5,
    5}, {z, -5, 5}, BoxRatios -> Automatic]

    But I can't get the correct result with the above code. How can I draw this line directly?

    In addition, $\frac{x-1}{2}=\frac{y-1}{3}=2$ should represent a vertical line, which I hope can be drawn by built-in or custom functions.

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