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