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AP and TS EAMCET Engineering Model Paper 19

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Question : 26 of 160
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If a‾=2i^−3j^\overline{a} = 2\hat{i} - 3\hat{j}, b‾=i^+j^−k^\overline{b} = \hat{i} + \hat{j} - \hat{k}, c‾=3i^−k^\overline{c} = 3\hat{i} - \hat{k} then match the following :
List-IList-IIhlinei.[a‾b‾c‾]equalsa.23hlineii.[b‾+c‾c‾+a‾a‾+b‾]b.16hlineiii.[b‾×c‾c‾×a‾a‾×b‾]c.8hlineiv. volume of the tetrahedron for which d.4hlinea‾,b‾ and c‾ are coterminous edges is hline\begin{array}{|c|c|c|c|}\hline & \text{List-I} & & \text{List-II}\\hline \text{i.} & \begin{bmatrix} \overline{a} & \overline{b} & \overline{c} \end{bmatrix} \text{equals} & \text{a.} & \frac{2}{3}\\hline \text{ii.} & \begin{bmatrix} \overline{b}+\overline{c} & \overline{c}+\overline{a} & \overline{a}+\overline{b} \end{bmatrix} & \text{b.} & 16\\hline \text{iii.} & \begin{bmatrix} \overline{b}\times\overline{c} & \overline{c}\times\overline{a} & \overline{a}\times\overline{b} \end{bmatrix} & \text{c.} & 8\\hline \text{iv.} & \text{ volume of the tetrahedron for which } & \text{d.} & 4\\hline \overline{a}, \overline{b} \text{ and } \overline{c} \text{ are coterminous edges is } & & & \\hline \end{array}
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