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\[\vec n=\vec u\times\vec v\]

|dw:1337148472550:dw|

yeah, that's a good graph :)

all that stuff I said still works though

wait..
\[pq = p-q?\]
but then you have
\[qr = r -q\]
i'm confused here:(

typo, my bad
I sort of invented my own notation there on the left

ohh okay so it's suppsoed to he pq = q-p, right?

so then
\[u x v = (-4 x 0, -5 x 5, 2 x 0) = < 0, -10, 0> ?\]

no that's not how you take a cross product...

oh wait.. so..
nope you lost me again lol
i'm sorry..

so you're picking one point as the middle point, and then creating two vectors from it?

and then crossing them?

exactly :)

and if i'm finding a vector PR, then its r -p, right? second point, minus first point? o.O

so, pr = < -4, 0, 2>
pq = <-4, 5, 0>
pr x pq = <-16, 0, 0> ?!

so getting the cross product of two vectors on a plane, gets me a vector perpendicular to the plane?

...so if you want a vector that points from p to r you write r-p

okay! perfect :D thank you!!! one more question?

sure :)

find an equation of the plane containing points P Q and R

and the normal vector was (16, 0 , 0)?
so its 16x + 0 + 0 = d?

oh I didn't check, but that seems wrong...

hold on...

i crossed it in incorrectly lol hold on

yeah I got <2,-20> on the first try, but I'm tired so let me try again

sorry <2,0,-20>

but wait that way still be wrong...

really? pellet.. i got <10 8 20> =\

whats your pq and pr? =\

this is what i got:
(10-0)i - (-8-0)j +(0+20)k
is that wrong? :(

so that is\[\vec n\]

but.. but.. i got 10i + 8j + 20k, doesn't the - distribute to the 8? :(

or.. it doesnt??

my bad
told you I'm tired

no worries!!! i totally understand hahha

so then i think i'm supposed to plug in the variables and a point so..
10(x-4)+8(y-0)+20(z-0)=0?

10x +8y +20z =40?

looks right though

...of course you could have picked any point and you would have gotten the same d

and you can simplify it obviously too
5x +4y +10z =20

isn't it positive?
you said so yourself, and I agree

the 40 I mean

oops yeah hehe :D thats what i wrote down!

yayyyy!!!! i think i get it!!! thank you soooo much!!!!!!!!

welcome, and g'night :)

sleep well!~!!!!