Transcript
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)