ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Calculus Videos 5 videos

Graphing and Visualizing Limits
1041 Views

Breathe in deeply through the nose... Now slowly exhale... Breathe in... And out... Now visualize the graph of the limit of f(x) as x approaches 2....

Derivatives as Slope of a Curve
5239 Views

What do snickerdoodles and velocity have in common? Derivatives! No, that wasn't a bad attempt at a joke. Get on our level by watching this speedy...

Introduction to Integrals with Riemann Sums
620 Views

Riemann sums are a way to estimate the area under a curve. Check out the video for all the deets.

See All

Plotting Points in 3D 833 Views


Share It!


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.

Language:
English Language

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.

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...

Related Videos

Graphing and Visualizing Limits
1041 Views

Breathe in deeply through the nose... Now slowly exhale... Breathe in... And out... Now visualize the graph of the limit of f(x) as x approaches 2....

Limits at Infinity
654 Views

If you're working on developing a positive self-image, don't ever weigh yourself on planet Deneb-G73. Either the gravitational pull there is a tad...

Derivatives as Slope of a Curve
5239 Views

What do snickerdoodles and velocity have in common? Derivatives! No, that wasn't a bad attempt at a joke. Get on our level by watching this speedy...

Introduction to Integrals with Riemann Sums
620 Views

Riemann sums are a way to estimate the area under a curve. Check out the video for all the deets.

Simplifying Radicals
9741 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?