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anonymous
 3 years ago
Please Help! Parameterize the plane that contains the three points (3,−5,−2), (10,−12,−10), and (25,0,5).
r(s,t)=
anonymous
 3 years 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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anonymous
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0what did you get for vector PQ

jim_thompson5910
 3 years 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

anonymous
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0ok, so far, so good

jim_thompson5910
 3 years 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?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i did it twice and got it wrong twice

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can you please provide me with an example

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0as in please show me a way o parameterize this

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

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

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

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