(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the shortest distance between the plane 2x−6y+4z=10 and the line passing through the points (0,-15,8) and (-6,-13,14).

3. The attempt at a solution

So orthogonal vector to the plane is (2, -6, 4)^{T}

The parametric equation of the line is:

L=(0,-15,8)+t(-3,1,3)

And I don't know after that. I can find distance from a point to a plane, but not from a line. Any help will be appreciated.

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# Homework Help: Distance from line to a plane

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