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 = (x 1, y 1, z 1 ) and Q = (x 2, y 2, z 2 ) 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)