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Question
The volume of the parallellopiped whose coterminal edges are 2^i−3^j+4^k,^i+2^j−2^k,3^i−^j+^k is
The volume of the parallellopiped whose coterminal edges are 2^i−3^j+4^k,^i+2^j−2^k,3^i−^j+^k is
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Solution
The correct option is C 7
Volume =| ∣∣
∣∣2−3412−23−11∣∣
∣∣|=|2(2−2)+3(1+6)+4(−1−6)|=|0+21−28|=7 cubic units
Volume =| ∣∣ ∣∣2−3412−23−11∣∣ ∣∣|=|2(2−2)+3(1+6)+4(−1−6)|=|0+21−28|=7 cubic units
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