Finding parametric equations for the line through the point that is perpendicular to plane and parallel?(adsbygoogle = window.adsbygoogle || []).push({});

What is the difference when finding parametric equations for a line through a point that is perpendicular vs. parallel? Surely there must be some difference but I cannot seem to figure it out.

Here is an example

Find parametric equations for the line through the point (2,4,6) perpendicular to plane x-y+3x=7

Also find parametric equations for the same line parallel to the same plane...

Do you find them both by using r(t)=r+ t*v

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# Finding parametric equations for the line through the point that is perpendicular to

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