Q. 29

# Mark (√) against the correct answer in the following:If and be the coterminous edges of a parallelepiped then its volume isA. 21 cubic unitsB. 14 cubic unitsC. 7 cubic unitsD. none of these

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

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