Vectori

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alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Vectori

Post by alex2008 »

Se da \( \Delta ABC \) cu laturile \( AB=c \) , \( AC=b \) , \( BC=a \) si \( I \) centrul cercului inscris triunghului \( ABC \) . Sa se arate ca pentru oricare punct \( P \) din plan are loc relatia :
\( \vec{PI}=\frac{a\cdot\vec{PA}+b\cdot\vec{PB}+c\cdot\vec{PC}}{a+b+c} \)
. A snake that slithers on the ground can only dream of flying through the air.
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