Find the volume of the parallelepiped whose coterminous edges are represented by the vector: ` vec a= hat i+ hat j+ hat k ,\ vec b= hat i- hat j+ hat k ,\ vec c= hat i+2 hat j- hat k` .

Explanation

Volume for given parallellepiped is given by,

`V=|[1,1,1],[1,-1,1],[1,2,-1]|`

`V=1(1-2)-1(-1-1)+1(2-(-1))`

`V=-1+2+3`

`V=4`