but as an oblique direction.

而是倾斜过的方向
If you do,

如果这么做
the unit vectors are called i prime and j prime,

单位矢量就是 i' 和 j'
the components of the vector change.

矢量的两个分量也会发生变化
You can imagine that if a vector is viewed from an angle,

你可以想象一下如果换一个角度观察矢量
then its components will vary with the perspective.

其分量会相应地发生变化
So the components of the vector

矢量的两个分量
are not invariant characterizations of the vector.

并不是一成不变的
That is, the vector itself has a life of its own.

也就是说矢量本身是独立的
The components come in the minute you pick your axis.

但它的分量由你所选择的坐标系确定
It's not enough to say these are the components of the vector;

所以只说"这些是某矢量的分量"是不够的
you've got to tell me, "I am working with i and j,

你还得告诉我 "我选取的基矢是 i 和 j