Find the coordinates of the point which divides the join of A(3, 2, 5) and B(-4, 2, -2) in the ratio 4 : 3.

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( 3, 2, 5 ) and B( -4, 2, -2 ), m and n are 4 and 3.

Formula –

Using the above formula,

( -1,2,1), is the point which divides the two points in ratio 4 : 3.