Question

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 1

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 respectively. 

Using the above formula, we get,

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