Mark (√) against the correct answer in the following:
If and be the coterminous edges of a parallelepiped then its volume is
Given
And
= are the coterminous edges of the parallelepiped.
Property:
If are the coterminous edges of the parallelepiped, the the volume of the parallelepiped is [
[ is the scalar triple product.
[ = .( x )|
x =
=[-4-1]-[-2-(-3)]+[-1-6]
=-5--7
.( x )=(.( -5--7)
= -10+3-28
= -35
.( x )|=35 cubic units
OR
[
=2 [-4-1]-[-2-(-3)]+[-1-6]
= -35
Therefore the volume of the parallelepiped with the given coterminous edges is 35 cubic units