The points and are the ends of a line segment in space

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

The points

P(3,-1,4)

and

Q(9,5,-2)

are the ends of a line segment in space. (a) Find the coordinates of the point

R

that divides

PQ

internally in the ratio

2:3

. (b) Calculate the distance

OR

, where

O

is the origin. (c) Determine the vector

\vec{PR}

in component form.