Obnoxious Posted October 11, 2005 Posted October 11, 2005 Can some please explain to me why [math]\{a + b + c = 0 | a,b,c \in R^3\}[/math] is a vector space but [math]\{a + b + c = 1 | a,b,c \in R^3\}[/math] isn't? And how do I get the {} to show up?
timo Posted October 11, 2005 Posted October 11, 2005 "{" = "\{" in TeX. I don´t understand your equations. What is "1"? A unit vector?
Paul K. Posted October 13, 2005 Posted October 13, 2005 Because there's no zero vector in [math] \{a + b + c = 1 | a,b,c \in R^3\} [/math]? Could be wrong tho...
timo Posted October 13, 2005 Posted October 13, 2005 You understand what "a+b+c=1 for a,b,c in R³" means? What?
Paul K. Posted October 13, 2005 Posted October 13, 2005 The set of all unit vectors that one can get by adding up three vectors in R^3?
matt grime Posted October 13, 2005 Posted October 13, 2005 Somehow i thijnk that it ought to be {(a,b,c) in R^3:a+b+c=1} is not a vector space. The thing you're written down doesn't make any sense since 1 is not in R^3
Paul K. Posted October 13, 2005 Posted October 13, 2005 It's not a VS because there's no 0 vector? Just wondering, new to this stuff. EDIT: I mean matt grime's VS.
matt grime Posted October 13, 2005 Posted October 13, 2005 look at the definitions and have some faith in you ability (since the answer is correct)
Obnoxious Posted October 14, 2005 Author Posted October 14, 2005 Yeah, it was suppose to be the vector a b c is a subset of R³... But I got it! Thanks!
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