General question about parameterized equations for lines

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SUMMARY

The discussion centers on finding the equation of a line that is perpendicular to and intersects another line, which was originally parameterized in variable t. The user derived the equation L = (0, 1, 2) + s <3/2, -1/2, -1>, while the reference book provided L = (0, 1, 2) + t <3, -1, -2>. Both equations represent the same line, confirming the user's solution is valid, although the book's version is deemed more straightforward.

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inknit
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I'm supposed to find the equation of a line perpendicular to and intersecting another line. The original line was parameterized in t.

I got the answer as L = (0, 1, 2) + s <3/2, -1/2, -1>


The book gave it as L = (0, 1 ,2> + t <3, -1, -2>



Since both equations describe the same line, is my answer okay?

Thanks!
 
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hi inknit! :smile:
inknit said:
Since both equations describe the same line, is my answer okay?

yeees …

but theirs is obviously better :wink:
 

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