the area of the triangle formed by the adjacent sides with A→=−3i^+2j^−4k^ and B→=−i^+2j^+k^ is

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1652 units

1372 units

165 units

137 units

answer is A.

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Detailed Solution

A→=−3i^+2j^−4k^ ; B→=−i^+2j^+k^ A→×B→=|i^j^k^−32−4−121| =i^(2+8)−j^(−3−4)+k^(−6+2)=10i^+7j^−4k^ Area of triangle =12|A→×B→|=12102+72+42 =1652units .

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