THREE DIMENSIONAL

GRAPHING

Lesson 13.5

What is 3 dimensional Graphing?

There are 3 axes that are mutually perpendicular.

x-axis, y-axis & z-axis Ordered pairs are (x, y, z)

Graph the point (2, 3, 5).

Go 2 spaces in the positive x-direction,

Then go 3 spaces in the positive y-direction.

Lastly, go 5 spaces in the positive z-direction.

Tips when graphing in 3-D…

Create a rectangular box to locate and visualize the point.

The sides of the box are drawn parallel to the axes.

Graph the point P (3, 4, 12)

Graph the point A = (2, 5, 7) on a 3-D graph. A

Theorem 126:

If P = (x1, y1, z1) and Q = (x2, y2, z2) are any two points, then the distance between them can be found with the formula:

Find the distance from A = (2, 5, 7) to B = (3, -2, 4)