A) 5
B) 6
C) 7
D) 8
Correct Answer: A
Solution :
Vol. of parallelopiped \[=\left| \begin{matrix} {{\mathbf{a}}_{1}} & {{\mathbf{b}}_{1}} & {{\mathbf{c}}_{1}} \\ {{\mathbf{a}}_{2}} & {{\mathbf{b}}_{2}} & {{\mathbf{c}}_{2}} \\ {{\mathbf{a}}_{3}} & {{\mathbf{b}}_{3}} & {{\mathbf{c}}_{3}} \\ \end{matrix} \right|=\left| \begin{matrix} 2 & 1 & -1 \\ 1 & 2 & 3 \\ -3 & -1 & 1 \\ \end{matrix} \right|\] \[=2(5)-1(1+9)-1(5)=\,|-5|\,=5\] cubic unit.
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