Vectors question - given points

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The discussion focuses on proving that the points A(-3,1), B(4,7), C(9,2), and D(2,-4) form a parallelogram using vector analysis. To establish this, the vectors AB and DC must be shown to be equal, as well as the vectors AD and BC. The participants emphasize the necessity of calculating the vectors correctly to demonstrate that opposite sides are both parallel and equal in length, confirming the properties of a parallelogram.

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Vectors question -- given points

Lads, You're going to laugh at me, but I started my new unit today, and I forgot my dang textbook at school, I'm doing as much research online as I can, but I'm having a rough time figuring this guy out. Any insight would be very helpful! Thanks!

Homework Statement



Given the points A(-3,1), B(4,7), C(9,2), and D(2,-4) prove algebraically that they form a parallelogram.
 
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If these points form a parallelogram, opposite sides must be parallel and equal in length. Form vectors of AB, DC, AD, and BC. The first two vectors I've listed should be equal (and therefore parallel). So should the last two.
 

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