Examples of using A unit vector in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
So that's all a unit vector is.
The notion that I forgot to do is the notion of a unit vector.
You start with a unit vector there.
That signifies that we're dealing with a unit vector.
For it to have a unit vector in any of those spaces.
That just says it's a unit vector.
Where this is a unit vector version of your vector v up there.
And let's say it's not a unit vector.
We can convert v into a unit vector that goes in the same direction.
And that cap just means it's a unit vector.
When something is a unit vector, instead of using this.
What we can first do is convert v into a unit vector.
This vector would just be a unit vector that just comes out like that, right?
Let's call it u, and I will say it's a unit vector.
And since n is a unit vector,… since it has a magnitude 1,… it's-- this is essentially saying.
Well, that's just going to be x of a plus h times a unit vector i.
So if something is a unit vector, let's say that u here is a unit vector, and it's a member of Rn.
Let's say someone gives you a vector v that isn't a unit vector.
If this is a unit vector, if this is a unit vector, so this is a unit vector, that implies that the length of u will be equal to 1.
Let me draw it with a little hat to show that it is a unit vector.
And I want to turn it into some vector u that is a unit vector, that just goes in the same direction.
If the length of v was 1, or this is another way of saying that,v is a unit vector.
Little arrow on top of the vector, they will often write a unit vector with a little hat on top of it, like that.
We know that n-- actually, I didn't want to do this caret here. n is not a unit vector.
You can construct a unit vector that goes in the same direction as any vector, essentially just by dividing, or I guess multiplying, that vector times 1 over its length.
You say, hey Sal, how do we know if this is a unit vector or not.
You can always, for any vector v, you can always find a unit vector that goes in the same direction, assuming that we're dealing with non-zero vectors. .
Sorry, it will be a new vector-- position vector-- not a unit vector.
If you want to find a unit vector-- or sometimes it's called a normalized vector-- that goes in the same direction as some vector v, you just figure out the length of v using the definition of vector length in Rn.
If you want to do this definition, we just have to turn this guy into a unit vector first.