An orthogonal coordinate system is like a map that helps us find where things are. Imagine you are playing a game and you need to find a treasure. You have a map that tells you that the treasure is located at a certain point, and the map has two lines that cross each other at right angles. These lines are called axes, and they help you locate the treasure.
One axis tells you how far you are from a certain point, and the other axis tells you in which direction you need to go to get to the treasure. For example, the first axis could be a line from east to west, and the second axis could be a line from north to south.
When you put these two lines together, they create a grid of squares or rectangles on the map, and each square or rectangle has its own unique coordinates - like a special address for that spot on the map.
The words "orthogonal" simply means that the two lines that form the map are perfectly perpendicular to each other, forming right angles at the point where they cross. So, the system allows you to locate things not just in one direction but in two dimensions, which can be very helpful in many situations.