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PiRsq

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I would really appreciate it if some1 can help me... We are doing basic vectors about adding, multiplying by scalars, subtracting etc...I have a problem with the following question and something else in general:

1)I attached an image and I have to determine what vectors AB-BC+CD-DE+EF-FA will equal

IMAGE AT: http://f1.pg.briefcase.yahoo.com/bc/robvdamm/lst?.dir=/Math [Broken]

Click on "vector"

2)How can I prove a theorem?

What I did for number one is that I drew another point in the middle and called it G (Its not in the picture so you have to imagine there is a point in the middle) and I named vectors GC parallel to AB. BUT my teacher says prove that, how the hell can I prove it? I would kill geometry if I understood how to prove the stuff...Any help is much appreciated, thanks!

1)I attached an image and I have to determine what vectors AB-BC+CD-DE+EF-FA will equal

IMAGE AT: http://f1.pg.briefcase.yahoo.com/bc/robvdamm/lst?.dir=/Math [Broken]

Click on "vector"

2)How can I prove a theorem?

What I did for number one is that I drew another point in the middle and called it G (Its not in the picture so you have to imagine there is a point in the middle) and I named vectors GC parallel to AB. BUT my teacher says prove that, how the hell can I prove it? I would kill geometry if I understood how to prove the stuff...Any help is much appreciated, thanks!

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