The volume of the parallelepiped whose edges are and is 546 cubic units. Find the value of λ.

Given :


1) Coterminous edges of parallelepiped are





2) Volume of parallelepiped,


V = 546 cubic unit


To Find : value of


1) Volume of parallelepiped :


If are coterminous edges of parallelepiped,


Where,





Then, volume of parallelepiped V is given by,



2) Determinant :



Answer :


Given volume of parallelepiped,


V = 546 cubic unit ………eq(1)


Volume of parallelopiped with coterminous edges











cubic unit ………eq(2)


From eq(1) and eq(2)





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