Maths Class 11 Chapter 12. Introduction to 3 D Geometry | Page 4

Coordinates of a Point in Space
Having chosen a fixed 3D coordinate system in the space, we can associate a given point in the space using three coordinates( x, y, z) and conversely, given a triplet of three numbers( x, y, z), how, we locate a point in the space.
Distance between 2 points
Numerical: Find the distance between the points P( 1, – 3, 4) and Q(– 4, 1, 2)
Solution:
PQ = √((-4-1) 2 +( 1-(-3)) 2 +( 2-4) 2) = 3 √5 units.