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Question

Let $\vec{a}$, $\vec{b}$, $\vec{c}$ be the position vectors of three vertices A, B, C of a triangle respectively. Then the area of the triangle is

$\frac{1}{2} |\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a}|$

$\frac{1}{2} |\vec{a} \times \vec{b}|$

$\frac{1}{2} |\vec{b} \times \vec{c}|$

$\frac{1}{2} |\vec{c} \times \vec{a}|$

Solution

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