Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Any point on the line is $(k+1,2k+1,k+1)$. For $x=0,k=-1$, giving $A(0,-1,0)$. For $y=0$, $k=-\frac{1}{2}$, giving $B\left(\frac{1}{2},0,\frac{1}{2}\right)$. With $O(0,0,0)$, the centroid is $\left(\frac{1}{6},-\frac{1}{3},\frac{1}{6}\right)$.