Q.
The area of the triangle formed by 2i^+j^-k^ and i^+j^+k^ is_____
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a
3 sq. unit
b
23 sq. unit
c
214 sq. unit
d
142 sq. unit
answer is D.
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Detailed Solution
Area =12|A→×B→| A→×B→=|i^j^k^21−1111| =i^(1+1)+j^(−1−2)+k^(2−1)=2i^−3j^+k^ ∴ Area =124+9+1=142sq. units
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