Examples of using A 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 you could take Ax, that's a vector, and now we are dotting it with this vector right here and we will get a number.
You multiply a 2 by 3 matrix times a vector in R3, you're going to get a 2 by 1 vector or 2 by 1 matrix.
It is a vector of the Dog Tapeworm,
So for any point in(x, y, z)… this will give us a vector, and then… we will multiply it times this scalar right over here… for that same point in three dimensions.
When you put them all together, it becomes a vector valued function, because we're multiplying the first one times a vector.
But if you specify that point and you specify a vector that's perpendicular to the plane-- and I can draw that starting from here, but I can shift a vector wherever.
We can write T of x-- we can write any linear transformation like this-- as being equal to some matrix, some m by n matrix times a vector.
It's just human beings, or mathematicians, decided that this is a useful convention to the define the multiplication, or the product, of a matrix and a vector.
And I'm specifying that because, in general, when someone talks about a vector, this vector and this vector are considered equivalent.
So my row space, which is just going to be a line in R3 because it's just a multiple of a vector.
And then if we do the bottom rows-- Remember when you multiply a scalar times a vector you multiply it by each of these terms.
So if I had a vector-- I'm just drawing it in the zy plane because it's a little bit easier to visualize-- but if I have a vector sitting here in the zy plane, it will still stay in the zy plane.
It's going to be a function of x and y, so the velocity at any point-- it's a vector field-- let's say it is, and I'm just going to make up something.
What I want to do first, and the reason why I wanted to show you this example, is just to show you that this is just another form of writing really a vector line integral.
But the bottom line, this vector right here-- if you add these scaled values of these two unit vectors, you're going to get r of a looking something like this. it's going to be a vector that looks something like that.
So I just showed you that if I take my matrix and multiply it times some vector that was multiplied by a scalar first, that's equivalent to first multiplying the matrix times a vector and then multiplying by the scalar.
Length of a vector.
Is this a vector?
This is a vector.
Hell is a vector?