Area of the triangle formed by (a1,b1)(a2,b2)(a3,b3) is given by 12∣∣ ∣∣a1b1a2a2b2a3a3b3a1∣∣ ∣∣
In the given figure, O is the circumcentre of an equilateral triangle ABC. Here, area of ΔBOC=13 area of ΔABC.
The given vectors can form sides of a triangle ^i−^j−^k,−2^i+3^j−^k,^i−2^j+2^k