3D Graphing

[asissa]

This was discussed in class today (intro), but is not in the book and I am at a loss on how to do some of this. Some help would be appreciated.

Refer to the right rectangular prism below. Determine the coordinates of each point.

Point H, Point G, Point B and Point F
So far I have concluded that Point B is (x, 0,12) and Point F is (x, 15, 12). I have no idea how to get x, or how to get points H or G except for possibly that x is 18.[attachment=0:3n0ex2ci]play 001.jpg[/attachment:3n0ex2ci]

 

[mmm4444bot]

All three dimensions are given, for this object, so you should not have any symbolic coordinates.

Do you understand how to plot points in a two-dimensional xy-coordinate system ?

The only difference in 3d is the added z dimension. I mean, everything else works the same.

I assume that the axis labels indicate the positive direction and point A is the Origin.

Starting at the Origin, we move to point H.

(1) We go 18 units in the positive x direction.

(2) We do not move in the y direction.

(3) We go 12 units in the positive z direction.

Therefore, the coordinates of point H are (18, 0, 12).

Getting to point G is the same, except we move 15 units in the negative y direction.

G(18, -15, 12)

Point B is located on the y-axis, so clearly the x- and z-coordinates are zero.

B(0, -15, 0)

Point F is directly "above" point B, so its coordinates are the same, except for moving 12 units in the positive z direction.

F(0, -15, 12)