CALCULUS 3
posted by Jessica .
Use the triple scalar product to determine whether the given points lie in the same plane.
A(1, 2, 3), B(3, 4, 8),
C(7, 1, 1), D(5, 5, 4)

The scalar triple product P among three vectors U,V and W is defined as follows:
P=U.(VxW)
P represents the volume of the parallelepiped formed by the vectors U, V and W.
Consequently, if U, V and W are coplanar, P=0.
Since 4 points (A,B,C,D) are given, three vectors can be formed where
U=AB, V=AC, and W=AD.
Calculate the triple scalar product as described above and if the result is zero, then the four points are coplanar. 
yes
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