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

|(b-a)x(d-a)|

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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