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

事实证明，也具有种坐不变性。

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

什么是向？？是什么意思？

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

通过改变选择可以得到哪些维向？

We know how to multiply by a scalar.

我们知道如何乘以一个。

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

现在让我们从向和开始认真复习第一单元。

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

你把它乘以一个，或者你没有改变它方向时。

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

鲍比, 请给我举一些物理学中例子。

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

就像，你知道，让我们回到我们那种只有级世界。

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

放大矢, 也许是有道理。

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

或者它可能会直觉地知道" " 个词来自哪里。

This is considered to be a scalar quantity.

被认为是一个。

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

, 你乘以它时, 它会放大一个向。

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

唯一在两个方向上相同变是时间变化，因为时间变化是一个。

When we multiply it times some scalar factor.

我们将它乘以某个因子时。

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

您通常认为它被分解为实部或“” 部分，然后是 3d 虚部。

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

例子有时间、距离、质、速度、体积、密度、功、能、转动惯，些就是我能想到。

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编辑和乘法吗？

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

你和长凳之间距离，以及你杯子里饮料体积和温度，都是用来描述。

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

您经常听到描述是 线性变换保留了向编辑和乘法操作。

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

或者更好是，如果我采用任何任意，那么哪个向可以表示该行上任何其他向？