You can't make visual effects without vectors and matrices.

没有向量和矩阵就无法制作视觉效果。

If it's perpendicular to the plane, it's also perpendicular to this vector right over here.

既会垂直於斜面他也会垂直於这个平行分力，来推算出这个橘色的向量和黄色的向量的量值。

Coming down on that vector, you get that... that buckling this way.

沿着那个向量，你会看到......这样的弯曲。

And if you want the whole vector, it's in this direction.

如果以向量表示，是指向这个向的。

This is what's called a context vector, and it's something pretty special.

这就是所谓的上下文向量，很特别。

Sine of 30 degrees. Sine of 30 degrees.

sin 30 度。这是因为这个向量。

And this comes straight out of this magnitude, which is opposite to the angle over the hypotenuse.

这是因为这个向量，让的量值当分母。

And there's also vectors, it doesn't matter how much you zoom, it's still perfect, it's still a line.

还有向量，不管你放大多少，是完美的，是一条直线。

It's not too hard to see that all those possible normal vectors trace out the surface of a sphere.

不难看出，所有这些能的 法线向量都在球体表面上。

So the magnitude here is 98 newtons and it is pointing downwards.

所以向量的值是98牛顿，而向则是向下现在我们要做的就是将此重力向量分解成垂直於斜面表面的正向力与平行於斜面表面的平行分力。

For each language Google Translate supports, every word gets converted into a vector, which is written like a list of numbers.

对于谷歌翻译支持的每种语言，每个单词都被转换成一个向量，这个向量被写成一串数字。

These are the ones which leave all the basis vectors perpendicular to each other with unit lengths.

这些是使所有基向量彼此垂直并具有单位长度的向量。

And we can use that information to figure out the magnitude of this orange vector right over here.

我们以用以上的这些资讯求到这个橘色的向量的量值记住，这个橘色的向量是地球引力垂直於斜面表面的分力。

" R" divided by the length of " R" .

用向量R除以的模。

And now let's  begin the unit 1 review in earnest with vectors and scalars.

现在让我们从向量和标量开始认真复习第一单元。

Vector is a fancy way of saying list.

向量是一种表示列表的奇特式。

The straight arrow connecting the two points is the vector from the origin to B.

连接两点的直箭头是从原点到 B 的向量。

That would be your total vector.

那将是你的总向量。

And what are vectors? Scalars? And what does this mean?

什么是向量？标量？这是什么意思？

They tend to get bigger since most vectors are getting stretched.

由于大多数向量都被拉伸，们往往会变得更大。