Py =( my2 + ny1) /( m + n) =( 2 * 4 + 3 *(-2))/( 2 + 3) = 2 / 5
Pz =( mz2 + nz1) /( m + n) =( 2 *(-5) + 3 * 3)/( 2 + 3) =-1 / 5 There coordinates of P are( 9 / 5, 2 / 5,-1 / 5)
Similarly in case the line is divided externally in ration m: n, then coordinates of Point P are
Px =( mx2- nx1) /( m-n) =( 2 * 3- 3 * 1)/( 2-3) =-3
Py =( my2- ny1) /( m-n) =( 2 * 4- 3 *(-2))/( 2-3) =-14
Pz =( mz2- nz1) /( m-n) =( 2 *(-5)- 3 * 3)/( 2-3) = 19 There coordinates of P are(-3,-14, 19)