While working through a problem I arrived at a stage where a vector, say(adsbygoogle = window.adsbygoogle || []).push({}); Vbeing parallel to the plane I'm trying to find the formula for. Taking the normal vector of the plane to benI used the dot product:

n*V=0

in this case I knewVto be <-2, -2, -1> andnI set to <a,b,c>. This leads to the equation -2a - 2b - c = 0 for which there are infinate solutions. Does this mean that a plane has an infinite number of equations of have I done somethign wrong?

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# Homework Help: Infite plane formulas?

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