If the orthocenter and circumcenter of a tria | vedclass

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(D) Let $O$ be the orthocenter $(3, -4, 2)$ and $C$ be the circumcenter $(2, 1, 3)$.We know that the centroid $G$ divides the line segment joining the

Vedclass · Accepted Answer

$\left(\frac{7}{3}, \frac{-2}{3}, \frac{8}{3}\right)$

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(D) Let $O$ be the orthocenter $(3, -4, 2)$ and $C$ be the circumcenter $(2, 1, 3)$.We know that the centroid $G$ divides the line segment joining the orthocenter and the circumcenter in the ratio $2:1$.Using the section formula,the coordinates of the centroid $G$ are given by:$G = \left(\frac{1(3) + 2(2)}{1+2}, \frac{1(-4) + 2(1)}{1+2}, \frac{1(2) + 2(3)}{1+2}\right)$$G = \left(\frac{3+4}{3}, \frac{-4+2}{3}, \frac{2+6}{3}\right)$$G = \left(\frac{7}{3}, \frac{-2}{3}, \frac{8}{3}\right)$

If the orthocenter and circumcenter of a triangle are $(3, -4, 2)$ and $(2, 1, 3)$ respectively,then its centroid is

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