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Question 1
If $\vec{a}, \vec{b}$ and $\vec{c}$ are the position vectors of the vertices A, B, C of a triangle ABC, then the area of the triangle ABC is
A.
$$\frac{1}{2}|\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a}|$$
B.
$$|\vec{a} \times \vec{b}|$$
C.
$$\frac{1}{2}|\vec{a} \times \vec{b}-\vec{b} \times \vec{c}-\vec{c} \times \vec{a}|$$
D.
$$\vec{a} \times (\vec{b} \times \vec{c})$$
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