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Mathematics 17 Online
OpenStudy (unklerhaukus):

empty product \[A\times\emptyset =?\]

OpenStudy (unklerhaukus):

i think i understand the answer but im not sure how to explain it

OpenStudy (anonymous):

http://cnx.org/content/m15207/latest/

OpenStudy (anonymous):

\[A\times B=\{(x,y):(x\in A)\wedge (y\in B)\}\]

OpenStudy (unklerhaukus):

how can and ordered pair be a scalar?

OpenStudy (unklerhaukus):

but i thought \[A×∅=1\]

OpenStudy (anonymous):

Empty set is like 0.. What do you get when you multiply anything by 0 ??

OpenStudy (unklerhaukus):

\[∅=\{\}\neq\{0\}\]

OpenStudy (amistre64):

|dw:1345036383077:dw| hmmm

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