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owlet
 one year ago
Find a scalar equation of the plane that contains the point P(2,4,1) and is parallel to the plane \(2x_1 + 3x_2 5x_3 = 6\).
owlet
 one year ago
Find a scalar equation of the plane that contains the point P(2,4,1) and is parallel to the plane \(2x_1 + 3x_2 5x_3 = 6\).

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Loser66
 one year ago
Best ResponseYou've already chosen the best response.2just plug the numbers in.

owlet
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443664554238:dw simplifying that, I got 11, so d =11 will the answer be 2x1 + 3x2  5x3 = 11?

owlet
 one year ago
Best ResponseYou've already chosen the best response.0that's what i did, just wanted to make sure if I'm right

owlet
 one year ago
Best ResponseYou've already chosen the best response.0i usually have a mistake in vector and scalar equations.. I usually switch them

owlet
 one year ago
Best ResponseYou've already chosen the best response.0can we fin vector equation from this?

owlet
 one year ago
Best ResponseYou've already chosen the best response.0ok thanks for confirming it :) can we find vector equation from this scalar equation? is it possible?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2why not? @chris00 now your turn

owlet
 one year ago
Best ResponseYou've already chosen the best response.0wait is there even a vector equation for a plane? O.o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0haha nice to throw the ball to me

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2it's not hard, right? all of us know how to do, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is a normal vector equation for the plane...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can simply read that off

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what this represents is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443665293308:dw

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2hey, guy, give him the easiest way, please.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0isn't that just \[(rr _{o})n=0\] jeez, its been so long

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where n is the normal?

owlet
 one year ago
Best ResponseYou've already chosen the best response.0i am already doing another prob

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0probs need a refresher since its been like 4yrs ago since I've done this lel

owlet
 one year ago
Best ResponseYou've already chosen the best response.0try this then: Verify the triangle inequality and the CAuchySchwarz inequality if: dw:1443665710601:dw

Loser66
 one year ago
Best ResponseYou've already chosen the best response.22x1+3x25x3=11 \(x_1= 11/2  (3/2)x_2 +(5/2)x_3\) Hence vector equation is \(\vec x= \left[\begin{matrix}(11/2)(3/2)x_2 +(5/2)x_3\\x_2\\x_3\end {matrix}\right]\) Now, turn to \(\vec x= \left[\begin{matrix}11/2\\0\\0\end{matrix}\right]+ x_2\left[\begin{matrix}(3/2)\\1\\0\end{matrix}\right]+x_3\left[\begin{matrix}(5/2)\\0\\1\end{matrix}\right]\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2That is the easiest way to find the vector equation from a scalar one.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2just replace x2 = lambda 1 and x3 = lambda2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think thats the Cauchy schwartz inequality theorem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0pretty straight forward if u apply this, i rekn

owlet
 one year ago
Best ResponseYou've already chosen the best response.0ok got it..i use the other one: dw:1443666019926:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the triangle inequality?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sus this http://www.math.lsa.umich.edu/~speyer/417/CauchySchwartz.pdf

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0u don't need to verify anything if u just proof it using variables

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cause a proof applies it for all cases. but its easier with numbers cause you just plug and chug it into formulas

owlet
 one year ago
Best ResponseYou've already chosen the best response.0it says on the question "Verify the Triangle Inequality"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea, probs best to just verify then. i was just giving you a proof for you to understand that it word for any case. perhaps you can read that in your own time to familiarise it for yourself

owlet
 one year ago
Best ResponseYou've already chosen the best response.0i will do that for sure :) I'm studying it right now. Thanks for all your help. Really appreciate it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no problem. good luck :)
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