Are the lines perpendicular to each other?
这些直线相互垂直吗？
When a surface is perpendicular to the rays, their intensity is at its maximum.
当表面与射线垂直时，射线的强度最大。
So, it's perpendicular to my curve.
它垂直于曲线。
And it will still be perpendicular to the curves.
它还是垂直于那些曲线。
The gradient vector would be going perpendicular to the level.
梯度向量应该垂直于等值线。
And these forces are both perpendicular to the displacement.
这些力都在位移的垂直方向上。
In other words, it's perpendicular to the plane of the two vectors.
换句话说，它垂直于，两个向量所处的平面。
Create sections using blend curves and blend perpendicular to surface.
创建使用混合节曲线和混合垂直表面。
And so the liquid will say "I'm going to be perpendicular to gravity."
此时液体会说，“我要与重力相垂直。”
That means that the gradient of f is perpendicular to the level set of g.
也就是说f的梯度向量,应该与g的水平集垂直。
Being perpendicular to the surface means that you are perpendicular to its tangent plane.
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。
And suppose I'm rotating it about an axis perpendicular to the blackboard through that point.
假设我将其绕着，通过这点垂直于黑板，的轴旋转。
Now, if it's perpendicular to the plane, then in that case, it's perpendicular to the blackboard.
如果它垂直于这个平面，在那个例子里，它垂直于黑板。
The directional derivative in a direction that's perpendicular to the gradient is basically zero.
垂直于梯度的方向上,方向导数为零。
Why is that? Well, let's say that we know how to find a vector that's perpendicular to our plane.
为啥呢？呃，就是说，我们知道，怎么画垂直于这个平面的向量。
So, see, this coefficient becomes zero exactly when the line is perpendicular to the normal vector.
看到了吧，系数变为0了，当直线垂直于法向量的时候。
On a snowboard, the torso's natural position is more or less perpendicular to the direction of motion.
在单板上，人的躯干大致和运动方向垂直，十分自然。
That means a vector that is at every point of the curve perpendicular to the curve and has length one.
也就是，曲线每一点上,垂直于曲线，模长为1的向量。
But we know another vector that is also perpendicular to the level set of g. That is the gradient of g.
但我们知道有另外一个向量也是和g的等值面垂直的，这个向量就是g的梯度。
Well, we've learned how to detect whether two vectors are perpendicular to each other using dot product.
呃，我们学过怎么用点乘,来判断两个向量是否垂直。
Consider a ball that is spinning about an axis perpendicular to the flow of air across it (see left).
观察一个旋转轴与空气流动方向垂直的足球(见上图)。
Near the southern tip of south America, a trio of volcanoes lines up perpendicular to the Andes Mountains.
在南美洲的南端，三座火山垂直于安第斯山脉排列成行。
Well, that means the gradient is actually perpendicular to the tangent plane or to the surface at this point.
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, at point P, the velocity vector QP is perpendicular to the line QP, 1 so the sine of that angle is one.
点P，速度向量,垂直于直线，所以该角的正弦值为。
Vector dS is a vector which points perpendicular to the surface and whose length corresponds to the surface element.
向量dS与曲面垂直,并且它的长度与面积元素有关。
Let's break the name down. The "normal" is a vector perpendicular to a surface, which we can use to calculate lighting.
首先我们从名字上开始分析，所谓“法线”指的是垂直于平面的向量，我们使用这个来计算光照。
A surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis.
抛物面一种有与单坐标轴平行的抛物截面和与该轴垂直的椭圆截面的平面。
In this method only narrow swathes of the product are applied, perpendicular to the direction of the marching hopper bands.
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。
Actually, they have a vector field is still pointing perpendicular to the level curves that we have seen, just to remind you.
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。
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。
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