Decompression blew out a window in the plane.
机舱内减压吹掉了一块玻璃窗。
Earth is the only one of the inner planets with a large satellite, the orbit of which is neither in the equatorial plane of Earth nor in the plane in which the other planets lie.
地球是内行星中唯一一个有大卫星的，它的轨道既不在地球的赤道平面上，也不在其他行星所在的平面上。
Fortunately, none of the 119 passengers in the plane were hurt in the incident.
幸运的是，飞机上的119名乘客都没有受伤。
So, if I try to form a parallelepiped with these three sides, and P is not in the plane, then it will have some volume.
所以如果我试着用这三边构成一个平行六面体，如果点P不在这个平面内，这个平行六面体就会有体积。
Flux looks quite different in the plane and in space because, in the plane, it is just another kind of line integral, while in space it is a surface integral.
平面中的通量和空间中的通量有很大区别，在平面中，通量仅仅是线积分的另一种形式，而在空间中，它表现为曲面积分。
What they see is the monitor in the plane.
他们所看到的是在飞机上可以看到的景象。
And out of this information you get the radius, the velocity and the period, assuming that you are on Earth in the plane of the orbit of the stars.
除了这个，还能得到半径的大小，速度以及周期，假设你在地球上，和这些恒星环绕的，轨道同处一个平面。
In the line integral in the plane, you had two variables that you reduced to one by figuring out what the curve was.
在平面上的线积分中，有两个变量，可以通过了解曲线的形成规律，从而去掉一个变量。
That was a vector field in the plane.
它是一个在平面上的向量场。
But another place where this comes up, if you remember what we did in the plane, curl also came up when we tried to convert line integrals into double integrals.
除了这些，旋度还有一个用处，如果你还记得，我们讨论平面的时候,当把线积分转换成二重积分的时候。
OK, if I'm moving in the plane, then position and velocity are in there.
如果在平面上运动，那么位置和速度也会在这个平面上。
So here you see them in the plane.
请看他们在飞机里的样子。
Imagine that you as an observer are somewhere in the plane of this orbit, and you are here.
假设有一个观察者，坐在这个轨道上的，一架飞机中，你在这里。
So, if you forgotten what we did in the plane, it's really the same thing.
如果忘记了在平面中做的是什么，其实平面中的也是一样的。
Several airplane companies offered equipment to be used in the plane.
几家航空公司提供了飞机上需要使用的设备。
But, there is another vector that I know it is in the plane.
但我知道，还有另一个向量在平面上。
His baggage is safely stowed away in the plane somewhere, or if it is not, that isn't his fault, which is the main thing.
他的行李安全地存放在飞机上的某一处，或者，如果没有放好，那也不是他的错，这一点很要紧。
We all thought he had been killed in the plane crash, but three days later he showed up safe and sound.
我们都以为他在收音机失事中丧生，但三天以后，他却安然无恙地出现了。
And so that was stuff about double and triple integrals and vector calculus in the plane and in space.
也就是二重和三重积分的内容，以及平面和空间中的向量积分。
I have a curve in the plane and I have a vector field.
这有一条平面曲线和一个向量场。
These points are not in the plane, but they are not in the plane in different ways.
这些点不在平面上，它们以不同的方式不在平面上。
Now, an important difference between curl here and curl in the plane is that now the curl of a vector field is again a vector field.
和平面上的旋度的一个重要的不同点是，这里向量场的旋度，仍然是一个向量场。
Well, I claim that the position vector is in the plane.
我断言，这个位置矢量在平面上。
Well, that one is not in the plane, either.
这点也不再平面上。
There is only one thing that is enclosed by this curve in the plane.
平面上，被曲线包围的就只有一个“曲面”了。
Well, you just take a closed curve in the plane.
只需在区域中取一条封闭曲线。
I mean, it has to be a flat object because we are just dealing with things in the plane so far.
它必须是平的，因为到目前为止，我们都在平面上处理事情。
We had a curve in the plane and we had a vector field.
平面上有一曲线，且存在着向量场。
We had a curve in the plane and we had a vector field.
平面上有一曲线，且存在着向量场。
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