Plot the following points
in three dimensions.
We will plot these points in space
using the 3D Calc Plotter Javascript app
and this app is from the
Exploring Multivariable Calculus site.
Let's open the app and plot these points.
When the app is open this is always
the default surface that is plotted.
We need to clear this plot,
and because we're plotting points
lets go ahead and clear this window as well
by checking the X to the right of the equation.
And now to the right of Add to graph we click the arrow
which opens this dropdown menu.
We select point.
We enter the first ordered triple here,
which is three comma four comma zero in parentheses.
So we have open parentheses three comma four comma zero
close parentheses.
To plot the point or graph the point
we can click graph or check this box on the left.
Let's click graph.
And notice how the point is plotted here
in the bottom right-hand corner
which means we need to adjust the window
to get a better view of this point in space.
We can adjust the window manually here below
or we can just zoom in or out
using the plus or minus above.
Let's click the minus to zoom out.
Notice now we have a nice view of this point in space
but let's change the color and change the size of the point
to make it easier to see.
Let's click the arrow to the right of color
and change the color to blue.
Let's double the size of the point
by changing size to eight.
Click graph, and now we have a much larger point
which makes it easier to see.
Notice for this order triple the z-coordinate is zero,
and therefore this point is in the xy-plane.
Let's go ahead and plot the next ordered triple
which is three comma four comma five.
Let's graph this point in red.
To the right of add to graph, click the arrow,
select point, and here are the ordered triple,
three comma four comma five,
let's change the color to red,
and change the size to eight, click graph
and now the point is graphed in space.
Notice how this point is five units above the blue point
because the x and y coordinates are the same
but for the red point the z-coordinate is five
compared to a z-coordinate of zero for the blue point.
Let's plot the next point in green
which is the ordered triple
negative five comma negative two comma negative three.
Click the arrow, select point,
enter the ordered triple,
change the color to green,
change the size to eight, click graph.
Let's rotate the view.
Next ordered triple is negative four comma three comma four,
let's graph this point in black.
Click the arrow, select point,
enter the ordered triple,
again negative four comma three comma four,
the color is already black,
let's change the size to eight,
click graph.
Let's rotate the view.
And now let's plot the last ordered triple which is
four comma negative three comma negative one.
And let's graph this point in purple.
So click the arrow, select point,
enter the ordered triple in parentheses,
change the color to purple,
change the size to eight,
and click graph.
Now we have all five points plotted in space.
Let's rotate the view one last time.
We can also download this graph as an image
by clicking in the three triple bars
in the upper left-hand corner
select File, and then select Save the plot as a PNG.
This allows you to save the graph as an image.
I hope you found this helpful.