Let A(2, 1, -3) and B(5, -8, 3) be two given points. Find the coordinates of the point of trisection of the segment AB.

Answer:

The coordinates of point R that divides the line segment joining points P (x1, y1, z1) and Q (x2, y2, z2) in the ratio m: n are point A( 2, 1, -3 ) and B( 5, -8, 3 ), m and n are 2 and 1.

Formula –

Using the above formula,

( 4,-5, 1) is the point of trisection of the segment AB.