First slide

Introduction to 3-D Geometry

Question

If the centroid of triangle whose vertices are $(a, 1, 3), (- 2, b, - 5) and (4, 7, c)$ be the origin, then the
value of a, b and c are

Moderate

A

-2,-8,-2
B

2,8,-2
C

2,-8,-2
D

7,-1,0

Solution

$\begin{array}{l} 0 = \frac{a - 2 + 4}{3} \Rightarrow a = - 2 \\ 0 = \frac{1 + b + 7}{3} \Rightarrow b = - 8 \\ and 0 = \frac{3 - 5 + c}{3} \Rightarrow c = 2 \end{array}$

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