Results 1 to 5 of 5

Math Help - Cross Product Problem

  1. #1
    Newbie
    Joined
    Sep 2012
    From
    Puerto Rico
    Posts
    6

    Cross Product Problem

    Hello, i am trying to solve a problem of discrete math and i am having a lot of problem with it. if someone could help me please

    The exercise is the following:

    If A,B,C are sets, then show that

    A X (B U C) = (A X B) U (A X C)


    Thanks!!
    Last edited by Plato; September 21st 2012 at 01:37 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1780
    Awards
    1

    Re: Cross Product Problem

    Quote Originally Posted by orly11 View Post
    Hello, i am trying to solve a problem of discrete math and i am having a lot of problem with it. if someone could help me please The exercise is the following:
    If A,B,C are sets, then show that
    A X (B U C) = (A X B) U (A X C)
    The statement that (x,y)\in A\times (B\cup C) means that x\in A~\&~y\in (B\cup C).

    The statement that (x,y)\in[( A\times B)\cup(A\times C)] means that (x,y)\in(A\times B)\text{ or }(x,y)\in(A\times C).

    Now you show those to are equivalent.
    Last edited by Plato; September 21st 2012 at 01:39 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2012
    From
    Puerto Rico
    Posts
    6

    Re: Cross Product Problem

    I am having trouble showing that their are equivalent. I have 3 more exersice like this one, can u help me with the prove so that I can take this exercise as an example
    Thanks for your help
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1780
    Awards
    1

    Re: Cross Product Problem

    Quote Originally Posted by orly11 View Post
    I am having trouble showing that their are equivalent. I have 3 more exersice like this one, can u help me with the prove so that I can take this exercise as an example
    Here is the proof: (x \in A) \wedge \left[ {y \in B \vee y \in C} \right] \Leftrightarrow \left[ {\left( {x \in A \wedge y \in B} \right) \vee \left( {x \in A \wedge y \in C} \right)} \right].

    If you know the meaning of cross product and you read my first reply, then it should be clear to you.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Sep 2012
    From
    Puerto Rico
    Posts
    6

    Re: Cross Product Problem

    thanks a lot for ur help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Cross product problem
    Posted in the Advanced Algebra Forum
    Replies: 11
    Last Post: December 15th 2011, 01:55 PM
  2. Cross Product Problem
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: September 12th 2011, 04:48 PM
  3. Cross Product Problem
    Posted in the Advanced Applied Math Forum
    Replies: 8
    Last Post: February 22nd 2011, 09:26 AM
  4. Replies: 4
    Last Post: September 2nd 2009, 05:07 AM
  5. Replies: 1
    Last Post: May 14th 2008, 12:31 PM

Search Tags


/mathhelpforum @mathhelpforum