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If G is the centroid of Delta ABC and G'...

If G is the centroid of `Delta ABC and G' ` is the centroid of `Delta A' B' C' " then " vec(A A)' + vec(B B)' + vec(C C)' = `

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To solve the problem, we need to find the expression \( \vec{AA'} + \vec{BB'} + \vec{CC'} \) given that \( G \) is the centroid of triangle \( ABC \) and \( G' \) is the centroid of triangle \( A'B'C' \). ### Step-by-Step Solution: 1. **Understanding Centroids**: 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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