Let and be two points in space.

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

A(2,-1,4)

and

B(5,3,-2)

be two points in space. (i) Find the position vector of the point

P

which divides the segment

AB

internally in the ratio

3:2

. (ii) Hence determine the exact coordinates of

P

and the length of

PB