(708,#29) Use the scalar triple product to show that the vectors
a = 2i + 3j+ k, b = i - j, c = 7i + 3j + 2k are coplanar, that is,
they lie in the same plane.
Solution: We have:
scalar triple product =
=volume of a parallelepiped
So:
Therefore the volume of the parallelepiped formed by a, b ,c is 0.
This means a, b, c are coplanar.
=volume of a parallelepiped
