Posted by Muja on Sunday, March 23, 2014 at 1:33am.
show that the quadrilateral with vertices at the following points is a parallelogram and find its area. a = (5,2,0), b = (2,6,1), c = (2,4,7), d = (5,0,6)

College Math  Steve, Sunday, March 23, 2014 at 6:26am
AB has direction (3,4,1)
BC has direction (0,2,6)
CD has direction (3,4,1)
DA has direction (0,2,6)
So, AB  CD
and BC  AD
since the sides are parallel in pairs, they must have the same lengths in pairs (I trust you can verify this).
the area is just
(ba)x(da)
where a,b,c,d are the vectors to the points A,B,C,D.

College Math  Muja, Sunday, March 23, 2014 at 7:01am
thanks steve. u really help me out.. really appreciate it .. =)
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