Question

The volume of the parallelepiped whose edges are (-12i + λk), (3j - k) and (2i + j - 15k) is 546 cubic units. Find the value of λ.

Answer 1

Given :

1) Coterminous edges of parallelepiped are

2) Volume of parallelepiped,

V = 546 cubic unit

To Find : value of λ

1) Volume of parallelepiped :

If \(\bar a,\bar b,\bar c\) are coterminous edges of parallelepiped,

Where,

Then, volume of parallelepiped V is given by,

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)