Question

Volume of the parallelopiped whose coterminous edges are $2\mathbf{i} - 3\mathbf{j} + 4\mathbf{k},\mathbf{i} + 2\mathbf{j} - 2\mathbf{k},3\mathbf{i} - \mathbf{j} + \mathbf{k},$ is

• A. 5 cubic unit
• B. 6 cubic unit
• C. 7 cubic unit
• D. 8 cubic unit

Answer 1

Answer: (C)

7 cubic unit

Answer 2

$V = \left| \begin{matrix} 2 & - 3 & 4 \\ 1 & 2 & - 2 \\ 3 & - 1 & 1 \end{matrix} \right| = | - 7| = 7$ cubic unit.