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ranyai12
 one year ago
Please Help! Parameterize the plane that contains the three points (3,−5,−2), (10,−12,−10), and (25,0,5).
r(s,t)=
ranyai12
 one year ago
Please Help! Parameterize the plane that contains the three points (3,−5,−2), (10,−12,−10), and (25,0,5). r(s,t)=

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ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0I first assigned the points to P Q and R and then found PQ and PR and then put P+u<PQ>+v<PR> and I got <3+7s+22t,57s+5t,28s+7s> but got it wrong!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what did you get for vector PQ

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0btw, this page may help you out http://math.harvard.edu/~ytzeng/worksheet/0926_sol.pdf see page 3

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0Yes i looked at that and Im stll not sure what i dd wrong

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0how about PR?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0ok, so far, so good

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I'm assuming you tried <3+7s+22t,57s+5t,28s+7t>and not <3+7s+22t,57s+5t,28s+7s> right?

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0i did it twice and got it wrong twice

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0does it specify at all which variables are the free variables (like x and y or x and z)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0hmm well I managed to find a calculator that will give the equation of the plane

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0that equation is x25y+21z80 = 0 x25y+21z= 80 solve for x: x25y+21z= 80 x = 80+25y21z x = 8025y+21z

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so if you let y = s and z = t, then you will get <x, y, z> = <8025y+21z, y, z> <x, y, z> = <8025s+21t, s, t>

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0unfortunately there are many ways to parameterize the plane

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0can you please provide me with an example

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what do you mean

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0as in please show me a way o parameterize this

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0well you could take the cross product of vectors PQ and PR

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0that will give you the normal vector to the plane

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what do you get when you do the cross product

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0somewhat close, but that's not correct
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