MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry
Problem
The points A(2,−1,3), B(5,2,k) and C(8,5,9) lie on the same straight line.
(a) Find the value of k such that A, B and C are collinear.
(b) For the value of k obtained, determine the ratio in which B divides AC, clearly stating whether it is internal or external division.