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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