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Area of triangle from transformed vertices

High school · ●●○○○ 20 pts

The triangle with vertices A⃗,\vec{A}, B⃗,\vec{B}, and C⃗\vec{C} has area 12. Find the area of the triangle whose vertices are −A⃗+B⃗+C⃗,-\vec{A} + \vec{B} + \vec{C}, A⃗−B⃗+C⃗,\vec{A} - \vec{B} + \vec{C}, and A⃗+B⃗−C⃗.\vec{A} + \vec{B} - \vec{C}.

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