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Q)

The area of the parallelogram having a diagonal $\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{k}$ and a side $\overrightarrow{i}-\overrightarrow{3j}+\overrightarrow{4k} $ is

 \[\begin{array}{1 1}(1)\;10\sqrt{3} &(2)\;6\sqrt{30}\\(3)\;\frac{3}{2}\sqrt{30}&(4)\;3\sqrt{30}\end{array}\]

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