Well, you know the normal vector.
那么当然知道它的法向量。
Remember this-- this is a vector.
记住它,这是个矢量。
So, in fact, it's a vector field.
事实上,是一个向量场。
Of course, it's not a real vector.
显然,这不是一个实际意义上的向量。
那么法向量又是什么呢?
And let's try a really big vector.
让我们试试更大的向量值。
这是向量场。
Now, how do we get this unit vector?
那我们怎么得到这单位矢量呢?
它不是单位向量。
What is the direction of the vector?
矢量c的方向是什么?
That was a vector field in the plane.
它是一个在平面上的向量场。
We all have seen... this is a vector.
我们都见过…这就是矢量。
向量BP是什么?
Why would we ever know a normal vector?
为什么我们会知道法向量?
就是这个矢量。
Well, at the time, it was just a vector.
那时候,它只是一个向量。
Why else would you know a normal vector?
还有什么原因你会知道法向量?
向量场。
So, this vector field is not conservative.
所以,这个向量场不是保守场。
So think of x as a vector of 0's and 1's.
可以把x看成是一个0和1的向量。
So, vector BP, we know two things about it.
向量BP,我们知道关于它的两件事。
OK, that's what we call the velocity vector.
就是我们所说的速度矢量。
The normal vector will just be the gradient.
法向量就是梯度向量。
Add the access point to your location vector.
将访问点添加到位置向量中。
Well, our vector field, is actually vertical.
向量场是竖直的。
The next thing to play with is vector graphics.
接下来要处理的是矢量图形。
It's the unit vector in the vertical direction.
即竖直方向的单位向量。
Let's say I want to do it for this vector field.
比如说,我想对这个向量场来求解。
And, we look at how the position vector changes.
来看看位置矢量的改变。
So I start with this vector, that’s already here.
我从这个向量开始,它已经在这边了。
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