Question

Write the coordinates of third vertex of a triangle having centroid at the origin and two vertices at (3, -5, 7) and (3, 0, 1)

Answer 1

Let the coordinates of third vertex be $(x_1,y_1,z_1)$

Now, $\frac{x_1+3+3}{3}=0,$$\frac{y_1,-5+0}{3}$=0 and

$\frac{z_1+7+1}{3}=0$ $\Rightarrow x_1=-6,y_1=5$ and $z_1=-8$

Hence, the coordinates of third vertex of a triangle is (-6, 5, -8)