1.It turns out that scalars also share this coordinate invariance property.

事实证明，标量也具有这种坐标不变性。机翻

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

什么是向量？标量？这是什么意思？

3.Which two dimensional vectors can you reach by altering the choices of scalers?

通过改变标量的选择可以得到哪些二维向量？

4.We know how to multiply by a scalar.

我们知道如何乘以个标量。机翻

5.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。机翻

6.When you multiply it by a scalar, or you're not changing its direction.

乘以个标量，或者没有改变的方向时。机翻

7.And Bobby, please give me some examples of scalars in physics.

鲍比, 请给我举些物理学中标量的例子。机翻

8.Like if, you know, let's go back to our kind of second grade world of just scalars.

就像，知道的，让我们回到我们那种只有标量的二年级世界。机翻

9.The scalar scaled up the vector. That might make sense.

标量放大矢量, 这也许是有道理的。机翻

10.Or it might make an intuition of where that word scalar came from.

或者可能会直觉地知道" 标量" 这个词来自哪里。机翻

11.This is considered to be a scalar quantity.

这被认为是个标量量。机翻

12.The scalar, when you multiply it, it scales up a vector.

标量, 乘以时, 会放大个向量。机翻

13.The only variable which is the same in both  directions is change in time because change in time is a scalar.

唯在两个方向上相同的变量是时间的变化，因为时间的变化是个标量。机翻

14.When we multiply it times some scalar factor.

我们将乘以某个标量因子时。机翻

15.You often think of this as being broken up into a real or " scalar" part, and then a 3d imaginary part.

您通常认为被分解为实部或“标量” 部分，然后是 3d 虚部。机翻

16.Examples of scalars are time, distance, mass, speed, volume, density, work, energy,   rotational inertia, and that's all I can think of.

标量的例子有时间、距离、质量、速度、体积、密度、功、能量、转动惯量，这些就是我能想到的。机翻

17.Remember how I said that linear algebra revolves around vector edition and scalar multiplication?

还记得我说过线性代数围绕着向量编辑和标量乘法吗？

18.The distance between you and a bench, and the volume and temperature of the beverage in your cup are all described by scalars.

和长凳之间的距离，以及杯子里饮料的体积和温度，都是用标量来描述的。机翻

19.The way you'll often hear this described is that linear transformations preserve the operations of vector edition and scalar multiplication.

您经常听到的描述是 线性变换保留了向量编辑和标量乘法的操作。

20.Or even better, what vector, if I take any arbitrary scalar-- can represent any other vector on that line?

或者更好的是，如果我采用任何任意标量，那么哪个向量可以表示该行上的任何其他向量？机翻