梯度向量应该垂直于等值线。
The gradient vector would be going perpendicular to the level.
垂直于梯度的方向上,方向导数为零。
The directional derivative in a direction that's perpendicular to the gradient is basically zero.
它还是垂直于那些曲线。
换句话说，它垂直于，两个向量所处的平面。
In other words, it's perpendicular to the plane of the two vectors.
假设我将其绕着，通过这点垂直于黑板，的轴旋转。
And suppose I'm rotating it about an axis perpendicular to the blackboard through that point.
它垂直于曲线。
所以梯度向量垂直于,很好，这是一个很好的开始。
v So -- So if the gradient vector is perpendicular to v OK, that's a good start.
点P，速度向量,垂直于直线，所以该角的正弦值为。
Well, at point P, the velocity vector QP is perpendicular to the line QP, 1 so the sine of that angle is one.
在南美洲的南端，三座火山垂直于安第斯山脉排列成行。
Near the southern tip of south America, a trio of volcanoes lines up perpendicular to the Andes Mountains.
如果它垂直于这个平面，在那个例子里，它垂直于黑板。
Now, if it's perpendicular to the plane, then in that case, it's perpendicular to the blackboard.
看到了吧，系数变为0了，当直线垂直于法向量的时候。
So, see, this coefficient becomes zero exactly when the line is perpendicular to the normal vector.
也就是，曲线每一点上,垂直于曲线，模长为1的向量。
That means a vector that is at every point of the curve perpendicular to the curve and has length one.
这不过是圆的性质——径向垂直于圆，我来画完这张图吧。
That is a property of the circle that the radial direction is perpendicular to the circle. Actually, let me complete this picture.
那意味着，梯度向量在这点上，垂直于切平面或者是等值面。
Well, that means the gradient is actually perpendicular to the tangent plane or to the surface at this point.
你们有两种选择：，垂直于你们自己，垂直于黑板。
You have two choices: it's either coming at you perpendicular into the blackboard.
提起骨盆在肩膀之上，这样躯干相对的垂直于地板。
Raise your pelvis over the shoulders, so that the torso is relatively perpendicular to the floor.
这种情况下光源垂直于字体的表面能够贯穿整个字体。
In this case the light is directed perpendicular to the face and washes throughout the letter.
各个部门在每一层都是垂直于建筑物的长度而分布的。
On each floor, the departments are distributed in the direction perpendicular to the length of the building.
为啥呢？呃，就是说，我们知道，怎么画垂直于这个平面的向量。
Why is that? Well, let's say that we know how to find a vector that's perpendicular to our plane.
它移动着，力会，垂直于绳子和r的平面，你们可自己知道为什么。
And as it moves, the torque will always be perpendicular to the plane through the string and r.You can just see that for yourself why that is.
我们是知道如何去求水平集的法向量的，也就是垂直于水平集的法向量。
And we know how to find a normal vector to the level set, namely the gradient vector is always perpendicular to the level set.
采用这种方法，仅需在垂直于蝗蝻带前进方向很窄的地带上施用该产品即可。
In this method only narrow swathes of the product are applied, perpendicular to the direction of the marching hopper bands.
当设备有槽侧的隔阂时，面临电极板和槽，壳有必要垂直于底部。
When equipment slotted side gap, face plate electrode and groove, perpendicular to the bottom of the shell and necessary.
它们都将绕着垂直于，黑板的轴旋转，我们要一个一个的，推测它们的周期。
They're all going to rotate about an axis perpendicular to the blackboard, so to speak, and we're going to massage each one of them to predict their periods.
我们坐在一个大桌子，与第二个表垂直于它在一端的第一次圆桌会议。
We sit at a large table, with a second table perpendicular to it at one end of the first table.
垂直于曲面也意味着垂直于它的切平面，垂直于曲面也意味着垂直于它的切平面。
Being perpendicular to the surface means that you are perpendicular to its tangent plane.
实际上，向量场，还是垂直于水平线，就像之前看到的那样，我只是想提醒一下大家。
Actually, they have a vector field is still pointing perpendicular to the level curves that we have seen, just to remind you.
同时，建筑物垂直于岸边，所以从交通路线看向湖的景观视野也变得开阔。
Also, the buildings are perpendicular to the shore so that there is maximum open view of the lake from the main traffic routes.
我的意思是，上一次我们讨论过了，这个梯度是垂直于等高线，并且是指向方程增长的方向的。
I mean we'd seen in last time, but the gradient is perpendicular to the level and points towards higher values of a function.
我的意思是，上一次我们讨论过了，这个梯度是垂直于等高线，并且是指向方程增长的方向的。
I mean we'd seen in last time, but the gradient is perpendicular to the level and points towards higher values of a function.
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