If I fix a point, then the gradient vector at that point is given to me.

确定一点，那么对我来说，这点的梯度向量就是确定的。

youdao

Add the access point to your location vector.

将访问点添加到位置向量中。

youdao

We have a vector field that gives us a vector at every point.

有一个向量场来描述每一个点上的向量。

youdao

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

it's clear that you want to add a vector that looks like that, because then you go from the start of this to the finish of that, you end up at the same point and you get this invisible 0 vector.

显然应该给它加上这样一个矢量,因为从这个矢量的起点指向那个矢量的终点,最终指向的是同一个点,你就得到这个不可见的零矢量

耶鲁公开课 - 基础物理课程节选

er is a vector at each point of length one pointing radially away from the center.

r 是一个模长恒为 1 的矢量,方向沿半径向外

耶鲁公开课 - 基础物理课程节选