Examples of using Unit vector in English and their translations into Turkish
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
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Programming
Times our i unit vector.
This unit vector is this.
And all of that times the k unit vector.
The unit vector has a magnitude of 1.
Let me draw the unit vector up here.
The next obvious question is,how do you construct a unit vector?
And the unit vector for there is k.
So it's capital P of xy times the unit vector i.
So if this is the unit vector in the x direction-- so that's i.
So the vector i hat, so that right there is a picture of the vector i hat weput a hat on top of i to show that it's a unit vector.
You start with a unit vector there.
Times the unit vector itself, so that we actually get a vector. .
I showed you this in the unit vector video.
We denote the unit vector by putting this little cap on top of it.
So it's going to be equal to i--you're not used to seeing the unit vector written first, but we can switch the order.
Times the unit vector i plus dy/dt times dt. Times the unit vector j.
And then all of that times the unit vector in the y direction times j.
The unit vector is this, 1 over the square root of 5 times our vector v. It was 1 over the square root of 5 times our vector v.
How can you define a line using some unit vector. You can just normalize v.
For it to have a unit vector in any of those spaces, their length is 1.
Let me write that down. What is the projection onto L of some scalar multiple of some vector a. That is equal to cadot our unit vector u times unit vector u.
We're now going to use our unit vector notation to solve up a projectile motion problem.
So it's 5times 10 times 1/2 times the unit vector, so that equals 25 times the unit vector.
You can define your u-- your unit vector could just be 1 over this, times that guy. 1 over the square root of 5 times 2, 1.
Now this is the y direction, or the same direction as the j unit vector. The j unit vector goes in the same direction as y.
We can convert v into aunit vector that goes in the same direction. Some unit vector u.
We will get dr is equal tox prime of t dt times the unit vector i plus y prime of t times the differential dt times the unit vector j.
In this equation, it is assumed that the unit vector in the z-direction points into the half-space where the far field calculations will be made.
This is equal to, by our definition, we will use the unit vector version, because it's simpler. This is equal to a plus b, that's our x, dot u.
In the last video I said, well,the whole reason why this unit vector notation is even-- Well, one of the reasons, we will see that there many reasons why it's useful.