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what did you get for vector PQ

btw, this page may help you out
http://math.harvard.edu/~ytzeng/worksheet/0926_sol.pdf
see page 3

I got <7,-7,-8>

Yes i looked at that and Im stll not sure what i dd wrong

how about PR?

22,5,7

ok, so far, so good

I'm assuming you tried <3+7s+22t,-5-7s+5t,-2-8s+7t>and not <3+7s+22t,-5-7s+5t,-2-8s+7s> right?

i did it twice and got it wrong twice

ok one sec

does it specify at all which variables are the free variables (like x and y or x and z)?

no

hmm well I managed to find a calculator that will give the equation of the plane

so if you let y = s and z = t, then you will get
= <-80-25y+21z, y, z>
= <-80-25s+21t, s, t>

unfortunately there are many ways to parameterize the plane

can you please provide me with an example

what do you mean

as in please show me a way o parameterize this

well you could take the cross product of vectors PQ and PR

that will give you the normal vector to the plane

what would i do then

what do you get when you do the cross product

gimme a sec

-89i+113j+189k

somewhat close, but that's not correct

what is it then?

try it again

ok