First slide

Introduction to 3-D Geometry

Question

If the ortho center and the circum center of a triangle are $(- 3, 5, 2), (6, 2, 5)$ then its centroid is

Easy

A

$(3, 3, 4)$
B

$(3, 2, 4)$
C

$(1, 3, 4)$
D

$(3, 3, 3)$

Solution

The centroid $G$ divides the line segment joining the points ortho center $O$ and the circum center $S$ in the ratio $2 : 1$ internally
It implies that $G (\frac{12 - 3}{3}, \frac{4 + 5}{3}, \frac{10 + 2}{3}) = (3, 3, 4)$

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