Plot (3, 1, 5)

Step by step

The question

Question: plot the point (3, 1, 5).

The numbers always come in this order: x, then y, then z.

So x = 3, y = 1 and z = 5.

1 Set up the grid

Three axes, at square corners to each other.

x comes toward us, y goes right, z goes up.

The floor is flat, where z is 0.

z is the height above it.

2 Plot the point

Start at the origin, where the axes meet.

Go 3 along x.

Then go 1 along y.

Then go up 5, straight up, along z.

That is the point (3, 1, 5).

Careful!

The order matters.

The first number is always x.

(1, 3, 5) is a different point.

3 Check

Let's check.

Drop straight down to the floor.

On the floor we are at x = 3, y = 1.

The height is 5.

It matches!

Let's look back.

First: set up the grid.

Then: plot the point.

Last: check.