Minus 2b looks like this.

That's the vector in standard position.

Now I'm going to say that these are position vectors, that we draw them in standard form.

That's my vector x.

Let's just say that my vector is the vector 2, 1.

So let's just start at some arbitrary point.

I just can't do it.

And the idea is that everything is defined.

You hide a great many things.

So this is vector a in standard position right there.

Now what would be a graphical representation of this set?

like that and I would go back 1 and then up 2.

Let's say that it is equal to 1, 2.

That's it.

I've done this before.

Record the indicator reading, noting both magnitude and direction

So I go to the right 2 and I go up 3.

If I do 2 times our vector, I'm going to get the vector 4, 2.

This is going to be this blue line.

So b minus a looks like that.

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leads to a 2mm displacement for a stereo rig, with focal length 40mm.

This is a set of vectors right here, and all of these vectors are going to point they're essentially going to point to something when I draw them in standard form, if I draw them in standard form they're going to point to a point on that blue line.

That's a.

But the convention is to often put them in what's called the standard position.

If you built a localization system for robots with higher dimensional state spaces,

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Record the indicator reading, you find at the front edge of the table, noting both magnitude and direction.

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Our vector x was 2, 4.

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