Question

Find the coordinates of the points which trisects the line segment joining the points $A(2,1,4),B(-1,3,6)$.

Answer 1

$\begin{array}{c}Coordinateofpusingsectionformulae\\ \frac{1\times -1+4}{3},\frac{3+2}{3},\frac{6+8}{3}\\ 1,\frac{5}{3},\frac{14}{3}\\ \theta isthemidpointofPB\\ \frac{1-1}{2},\frac{\frac{5}{3}+3}{2},\frac{\frac{14}{3}+6}{2}\\ 0,\frac{7}{3},\frac{16}{3}\\ Trisectionpointis\\ P\left(1,\frac{5}{3},\frac{14}{3}\right)\theta \left(0,\frac{7}{3},\frac{16}{3}\right).\end{array}$