Learn how to work with points and distances in 1D, 2D, and 3D (and beyond). You’ll also see a 2D application: using the distance formula to find the radius and area of a circle.

Introduction

Quick overview before we start plotting and measuring distances.

1. Difference between 1D, 2D, and 3D
2. 3D, 4D, and beyond in real life
   
   

A) 1D (Number Line)

Plot points on a line and find distances between two points.

1. Plotting Points on a Number Line (1D)
2. Distance Formula in 1D
3. Distance between Two Points in 1D
   
   

B) 2D (Coordinate Plane)

Work with ordered pairs (x, y): quadrants, axes, and distance.

1. Plotting Points on the Coordinate Plane (2D)
2. Which Quadrant or Axis? (2D)
3. Distance Formula in 2D
4. Distance between Two Points in 2D
5. Distance Formula: Radius and Area of a Circle
   
   

D) 3D (XYZ)

Plot points in 3D using (x, y, z).

1. Plotting Points in a 3D Coordinate System (XYZ)
2. Distance Formula in 3D Space
3. Distance between Two Points in 3D