If two arrows are equal, you cannot be longer in the x direction and correspondingly short in the y direction.

如果要使两个矢量相等,那么即使 x 分量长一些,y 分量相应地小一些也是不行的

耶鲁公开课 - 基础物理课程节选

j points away from the origin in the y direction.

从原点指向 y 轴正方向

耶鲁公开课 - 基础物理课程节选

This is the vertical direction y.

这个是垂直的，Y轨道。

麻省理工公开课 - 固态化学导论课程节选

I mentioned something of increasing importance only later, which is that you are free to pick another set of axes, not in the traditional x and y direction, but as an oblique direction.

后来我又讲了更重要的知识点,你可以随意选取另外一个坐标系,不再是传统的 x 和 y 方向,而是倾斜过的方向

耶鲁公开课 - 基础物理课程节选