A) 4
B) 9
C) 16
D) 36
Correct Answer: B
Solution :
\[(\overrightarrow{p}+2\overrightarrow{q}+3\overrightarrow{r})\cdot \left( (\overrightarrow{q}+2\overrightarrow{r}+3\overrightarrow{p})\times (\overrightarrow{r}+2\overrightarrow{p}+3\overrightarrow{q}) \right)=54\]On solving \[18\left[ \overrightarrow{p}\,\,\,\overrightarrow{q}\,\,\,\overrightarrow{r} \right]=54\]\[\left[ \overrightarrow{p}\,\,\,\overrightarrow{q}\,\,\,\overrightarrow{r} \right]=3\] Hence,\[{{\left[ \overrightarrow{p}\,\,\,\overrightarrow{q}\,\,\,\overrightarrow{r} \right]}^{2}}=9\]Ans.You need to login to perform this action.
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