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Coordinates and Graphs Videos 64 videos
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Plotting Points in 3D 833 Views
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Description:
The video will show you how to plot points in 3D using the axes of the 3D coordinate system. Make sure you're wearing your special glasses for this one.
Transcript
- 00:04
Plotting points in 3D, a la Shmoop.
- 00:11
George has been a naughty boy...
- 00:13
...putting petroleum jelly on all the doorknobs of the house...
- 00:17
...painting his sister's face with red paint while she was asleep...
- 00:21
...and all before breakfast.
Full Transcript
- 00:23
Instead of the normal 10-minute timeout, his parents decide to really teach him a lesson...
- 00:27
...with a three dimensional math problem.
- 00:29
The problem that he has to plot...
- 00:33
(3, 2, 1)
- 00:36
Math isn't George's strongest subject, so let's help him out.
- 00:41
Before we try figuring out what (3, 2, 1) means...
- 00:44
...let's first orient ourselves with the axes of a three dimensional coordinate system.
- 00:49
Think of the x, y, and z axes as the corner of a room, with the x-axis pointing toward you.
- 00:55
So what does (3,2,1) have to do with anything?
- 00:58
(3, 2, 1) is an ordered triple in the form (x, y, z).
- 01:03
Which means that to graph this point, we would go 3 units along the x-axis....
- 01:08
...2 units along the y-axis... and 1 unit up on the z-axis.
- 01:14
We first plot the x, y, and z points...
- 01:17
...3 on the x, 2 on the y, and 1 unit on the z.
- 01:22
And then we draw dotted lines parallel to the axes and connect the x and y points.
- 01:28
We then draw dotted lines parallel to connect all the points drawn.
- 01:32
We can draw a 3D box by projecting dotted lines to the point.
- 01:36
Ta-da! (3, 2, 1) is where the red dot is.
- 01:40
It takes him long enough, but George finally finishes plotting these points...
- 01:43
...and has regained his freedom.
- 01:45
Although something tells us he's not quite in the clear yet...
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