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if G is the centroid of triangleABC su...

if G is the centroid of ` triangleABC` such that ` vec(GB) and vec(GC)` are inclined at on obtuse angle, then

A

` 5a^(2) gt b^(2) +c^(2)`

B

` 5c^(2) gt a^(2) + b^(2)`

C

`5b^(2) gt a^(2) + c^(2)`

D

none of these

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the given conditions about the centroid \( G \) of triangle \( ABC \) and the vectors \( \vec{GB} \) and \( \vec{GC} \). ### Step-by-Step Solution: 1. **Understanding the Centroid**: The centroid \( G \) of triangle \( ABC \) is given by the formula: \[ \vec{G} = \frac{\vec{A} + \vec{B} + \vec{C}}{3} ...
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