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。
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。
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。
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)。
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。
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。
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。
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。
Align the wrists perpendicular to the floor and center your weight on the edge of the forearm bone, rolling neither in nor out.
使腕骨立起来垂直地板，将体重放在小臂骨的边缘，小臂既不要内旋也不要外旋。
We have also learned that the direction of the cross product is given by taking the direction that's perpendicular to a and b.
我们还学过，外积的方向，与A和B均垂直。
However, a vertical line sitting perpendicular to the top and bottom of the canvas has more of a tendency to convey a sense of height.
然而，与画布顶端和底端垂直的竖线往往更适于传递高度之感。
A severe facade rose above this door; a wall, perpendicular to the facade, almost touched the door, and flanked it with an abrupt right angle.
大门的上方便是那房屋的正面，气象庄严，一道和房屋正面垂直的墙紧靠在大门旁边，构成一个生硬的直角。
Or add transparent graphics with computed transparencies perpendicular to the Earth plane to create a more realistic layered effect for all viewing angles.
或者，添加与地平面垂直的、计算出透明度的透明图形，创建针对所有视角的更真实的分层效果。
Also, if this setup doesn't coincide with the position of the sun, then it can be rotated 90 degrees and mounted so that it is perpendicular to the roof peak.
如果这个装置跟太阳的方位不一致，那么，可以把它旋转90度与屋顶垂直，然后再安装。
A rare galaxy type, polar ring galaxies have a substantial population of stars, gas, and dust orbiting in rings nearly perpendicular to the plane of the galactic disk.
极环星系是种稀有的星系类型，它们有着几乎和银盘平面垂直，呈环形公转的大量的恒星、气体和星尘。
The researchers found that if they stretched out the substance in a second direction perpendicular to the first, it could then be stretched in any direction without harm.
研究人员发现，如果向着第一次拉伸的垂直方向拉扯，它仍然能够向着任何方向毫无损害地任意伸展。
Unusually tall columns, flying buttresses, towering spires, and narrow windows, all create vertical lines that appear to jut out perpendicular to the surface of the Earth.
这些建筑常常有高高的柱子、飞拱、高耸的尖塔和逼仄的窗子，所有这些都构造出竖线，看上去，都突出来与地表垂直。
In a vacuum they all travel at the speed of light; they are all composed of electric and magnetic vectors which are perpendicular to each other; they are all quantized as photons, and so on.
在真空中，它们都以光速前进；它们都由彼此垂直的电磁矢量构成；它们都可以用光子来量化，等等。
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