Question

If three vectors $\mathbf{a} = 12\mathbf{i} + 4\mathbf{j} + 3\mathbf{k},\mathbf{b} = 8\mathbf{i} - 12\mathbf{j} - 9\mathbf{k}$ and

$\mathbf{c} = 33\mathbf{i} - 4\mathbf{j} - 24\mathbf{k}$ represents a cube, then its volume will be

• A. 616
• B. 308
• C. 154
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Volume of cube $= \lbrack\mathbf{abc}\rbrack$

12 & 4 & 3 \\ 8 & - 12 & - 9 \\ 33 & - 4 & - 24 \end{matrix} \right| = 12\left| \begin{matrix} 12 & 1 & 1 \\ 8 & - 3 & - 3 \\ 33 & - 1 & - 8 \end{matrix} \right| = 3696.$$