MCQ
Three concurrent edges $ OA, OB, OC$ of a parallelopiped are represented by three vectors $2i + j - k,\,\,i + 2j + 3k$ and $ - 3i - j + k,$ the volume of the solid so formed in cubic unit is
- ✓$5$
- B$6$
- C$7$
- D$8$
$ = \left| {\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&{{c_1}}\\{{a_2}}&{{b_2}}&{{c_2}}\\{{a_3}}&{{b_3}}&{{c_3}}\end{array}} \right| = \left| {\begin{array}{*{20}{c}}2&1&{ - 1}\\1&2&3\\{ - 3}&{ - 1}&1\end{array}} \right|$
$ = 2(5) - 1(1 + 9) - 1(5) = \,| - 5|\, = 5$ cubic unit.
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f\left( x \right) = \left[ \begin{gathered}
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\end{gathered} \right.,f\left( x \right) \hfill \\
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