#How to find a perpendicular line to plane e.g. 2x - y + 5z = 2 passing through given point (1,2,1)?

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alpine vault
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I couldn't find that case it in my lecture notes. Is there some formula for that?

regal smeltBOT
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nocturne stone
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then use the fact that it's perpendicular to the plane

slow sierra
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name a normal vector for the plane and then define a line in the direction of that vector that passes through the given point

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if n = (A,B,C) is normal to the plane, then the line is given by nt + (1,2,1), where t in R

alpine vault
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so n = (2,-1,5) and (x-1)/2 = (y-2)/-1 = (z-1)/5 ?

slow sierra
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that works

viral fableBOT
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@alpine vault

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