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Question

The area of the triangle formed by 2^i+^j^k and ^i+^j+^k is

A
3 sq.units
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B
23 sq.units
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C
214 sq.units
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D
142 sq.units
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Solution

The correct option is D 142 sq.units
A=2^i+^j^k, B=^i+^j+^k
Area of the triangle =12|A×B|
=12 ∣ ∣ ∣^i^j^k211111∣ ∣ ∣
=12|2^i3^j+^k|=124+9+1
=142 sq.unit

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