Question

Find the coordinates of the point that divides the join of A(- 2, 4, 7) and B(3, - 5, 8) extremally in the ratio 2 : 1.

Answer 1

The coordinates of point R that divides the line segment joining points P (x₁, y₁, z₁) 

and Q (x₂, y₂, z₂) externally in the ratio m: n are

Point A( -2, 4, 7 ) and B( 3, -5, 8 ), m and n are 2 and 1 respectively. 

Using the above formula, we get,

= ( 8,-14,9), is the point that divides the two point A and B externally in the ratio 2:1.