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。
一个与半径垂直的矢量。
So, the gradient is perpendicular.
所以，梯度向量是垂直的。
So, it's perpendicular to my curve.
它垂直于曲线。
Well, it means that OP and a are perpendicular.
就像前面说过的，这就是说op和A互相垂直。
And it will still be perpendicular to the curves.
它还是垂直于那些曲线。
This was evident from the perpendicular wrinkles.
这可以从那些垂直的折皱上看出来。
The gradient vector would be going perpendicular to the level.
梯度向量应该垂直于等值线。
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。
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。”
It more or less goes perpendicular with the fault rupture of the earthquake.
海啸的行进方向与地震断层破裂带通常会相互垂直。
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。
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。
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。
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。
OK, so now if we have a dot product that's zero, that tells us that these two guys are perpendicular.
所以我们现在有了一个点积为，这告诉我们两者是垂直的。
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。
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。
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。
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。
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)。
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。
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。
When bouncing your flash, at certain angles close to that perpendicular plane, direct light will hit your subject.
当使用跳灯时，即使闪光灯以接近垂直的角度向上方打光，但仍有扩散的光线直接照射到被摄体上。
When bouncing your flash, at certain angles close to that perpendicular plane, direct light will hit your subject.
当使用跳灯时，即使闪光灯以接近垂直的角度向上方打光，但仍有扩散的光线直接照射到被摄体上。
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