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Question

The area of the triangle formed by 3^i+^j^k and ^i+^j+^k is
  1. 214 sq.units
  2. 3 sq.units 
  3. 6 sq.units 
  4. 23 sq.units  


Solution

The correct option is C 6 sq.units 
A=3^i+^j^k, B=^i+^j+^k
Area of the triangle =12|A×B|

Where|A×B| is
∣ ∣ ∣^i^j^k311111∣ ∣ ∣

Finding
12|A×B| by solving matrix,

12|A×B|=12|2^i4^j+2^k|=124+16+4
=6 sq.unit

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