00:01
This question says to graph the point 2 -1 -5 and the origin, and then create a rectangular solid with those as vertices.
00:09
Now, vertices are the points of a rectangular solid.
00:12
So first, let's start by graphing.
00:14
Now remember, anytime we have three numbers, we have them in the order, x, y, z.
00:24
So our first value here, the 2 is the x value.
00:27
So we're going to go over to 2.
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Then the next value is the y.
00:32
So we're going to go up 1, and the third value is the z, and we're going to go out 5.
00:38
So here is our first point, point a.
00:42
It says that the origin, which is 0 -0 -0, is also one of our points.
00:47
So that is where all of our points cross, all of our axes cross.
00:51
Now that we have those two points, we can see that they're at a diagonal to each other.
00:55
So that means these are opposite points.
00:58
So let's start to build our vertices.
01:00
So i noticed that a is over 2 on the x.
01:05
So let's make another point here and label it 2 .0.
01:17
I noticed that my next point for it to get to a would have been up 1.
01:21
So let's make another point there.
01:23
So now we have 2 .1 .0.
01:31
Well, a rectangular solid has rectangular slices...