Examples of using Position 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 hopefully you realize that, look, these position vectors really are specifying the same points on this curve as this original, I guess, straight up parameterization that we did for this curve.
They don't necessarily have to be position vectors, but for the visualization in this video, let's stick to that.
We could just calculate this, and we will essentially have the average change in our position vectors, so you could imagine, 2 position vectors, that's one of them.
And we have seen in R2 a scalar combination of one vector, especially if they're position vectors.
And then, as t increases, it traces out a curve, or the endpoints of our position vectors trace a curve that.
So you see, as you keep increasing you value of t until you get to b, these position vectors-- we're going to keep specifying points along this curve.
Now I'm going to say that these are position vectors, that we draw them in standard form.
And so, our line can be described as a set of vectors, that if you were to plot it in standard position, it would be this set of position vectors.
So hopefully you have a gut feeling now of what the derivative of these position vectors really are.
Now, we saw in the last video that the endpoints of these position vectors are what's describing this curve.
Let's say that rectangle is equal to the set of all of the points when you connect the points specified by those position vectors.
Or if we're thinking in position vectors, we could say that point is represented by the vector, and we will call that x.
And if we view these vectors as position vectors, that this vector represents a point in space in R2-- this R2 is just our Cartesian coordinate plane right here in every direction-- if we view this vector as a position vector.
But when you have this tool at your disposal, all you have to do is evaluate this matrix at the angle you want to rotate it by, and then multiply it times your position vectors.
That's my next position vector right there.
Let me call that position vector. I don't know.
That clearly saying logic can be specified by another position vector.
There is a position vector. Let me draw it like this.
Now let's say that we have any another position vector function.
This, all of a sudden, this isn't a position vector.