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

Where does the line through (1, 0, 1) and (4, -2, 2) intersect the plane x+y+z=6 ?

2. Relevant equations

eqn of plane: a(x-x0)+b(y-y0)+c(z-z0)=0

??

?? anything else idk..

3. The attempt at a solution

I started off by thinking that I should use the given points for the line to make a vector. lets call ... AB? so that would be <3, -2, 1>. but i dont really know if/why i should start with that. thats about as far as i got

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# Homework Help: Where does the line intersect the plane?

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