The diagonals of a parallelogram are given by the vectors (3i+j+2K) and (i-3j+4K) calculate area of parallelogram.
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Correct option is
B
5 root 3
Here a=3i+j−2k,b=i−3j+4k
Thus a×b=∣∣∣∣∣∣∣∣i31j1−3k−24∣∣∣∣∣∣∣∣=−2i−14j−10k=−2(i+7j+5k)
Hence area of parallelogram =21∣a×b∣=53
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