question_answer

If the volume of a parallelepiped with \[\overrightarrow{a}\times \overrightarrow{b},\text{ }\overrightarrow{b}\times \overrightarrow{c},\text{ }\overrightarrow{c}\times \overrightarrow{a}\] as cotermmus edges is\[9\text{ }cu\]units, then the volume of the parallelepiped with \[(a\times b)\times (b\times c),(b\times c)\times (c\times a),\] \[(c\times a)\times (a\times b)\]as coterminus edges is

A)  9 cu unit             

B)  729 cu unit

C)  81 cu unit     

D)         27 cu unit

E)  243 cu unit