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B
i+7j−5
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C
i−7j+5k
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D
i+16j−9k
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Solution
The correct option is Di+16j−9k [(3i−2j−2k)×(i−k)]×[(i+j+k)×(i−2j+3k)]=[i(2−0)−j((−3)−(−2))+k(0−(−2))]×[i(3−(−2))−j(3−1)+k((−2)−1)]=[2i+j+2k]×[5i−2j−3k]=i((−3)−(−4))−j((−6)−10)+k((−4)−5)=i+16j−9k