posted by Muja .
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)
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
where a,b,c,d are the vectors to the points A,B,C,D.
thanks steve. u really help me out.. really appreciate it .. =)