But I know when I multiply a vector by a number, I get a vector in the same direction.

但是我所知道的是当矢量乘以一个常数,我会得到一个同方向的矢量

耶鲁公开课 - 基础物理课程节选

Everything is the same as in 1D, except everybody's a vector now.

所有的都和一维下是相同的,除了都换成矢量了

耶鲁公开课 - 基础物理课程节选

You can deal with a vector in one of two ways.

你有两种方法来表示矢量

耶鲁公开课 - 基础物理课程节选

The fact that when you go in a circle, you accelerate is what we're learning here, coming from the fact that velocity is a vector and its change can be due to change in the magnitude or change in direction.

而当你做圆周运动时你也在加速,这是我们在这里所学到的,原因就在于,速度是一个矢量,其变化可以通过改变模长,或者方向来实现

耶鲁公开课 - 基础物理课程节选

The same vector A can be written either in terms of i and j or in terms of i prime and j prime.

同一矢量 A 可用 i 和 j 表示,也可用 i' 和 j' 表示

耶鲁公开课 - 基础物理课程节选

At each point, er is a different vector pointing in the radial direction of length one.

矢量 er 在每一点处都不同,方向都从圆心指向该点,模长为1

耶鲁公开课 - 基础物理课程节选

You've got to be very used to the notion of taking a vector in some oblique direction and writing it in terms of i and j.

你们应该已经很熟悉,倾斜的坐标系中矢量的概念,和用 i 和 j 来表示该矢量的方法

耶鲁公开课 - 基础物理课程节选

At every instant, it's got a location given by the vector R; R itself is contained in a pair of numbers, x and y, and they vary with time.

在每一个瞬时,它的位置由位矢 R 给出,R 本身包含了一对坐标值 x 和 y,并且它们都随着时间的变化而变化

耶鲁公开课 - 基础物理课程节选

This vector has a little bit of negative i in it.

这个矢量包含一小部分的负 i

耶鲁公开课 - 基础物理课程节选