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

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