If $\to a, \to b, \to c$ are the position vectors of the vertices of the triangle $A B C$ , then write the formula of the area of $△ A B C$ .

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Solution

If $\to a, \to b, \to c$ are the position vectors of the vertices of the triangle $Δ A B C$ , the area of the triangle is given by half of the cross product of its two sides.
i.e. $\frac{1}{2} | \to a - \to b \times (\to c - \to b) |$

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