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

Find the perpendicular distance from the point (1,2,3) to the plane x-2y-z=1

One method: find the equation of the line throughout (1,2,3) perpendicular to the plane. Find the intersection of this line and the plane

3. The attempt at a solution

I know the vector (1,-2,-1) is a vector perpendicular to the plane

I'm not sure how to find the distance between where the vector intersects the

plane to the point.

I know what to do if the vector was a line, but I am confused as to how to change the vector into a line.

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# Perpendicular distance from point to a plane

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