This vector i prime has got a horizontal part, This kind of trigonometry you should know all the time.

矢量 i' 有一个水平方向的分量,这类三角关系你们应该已经很熟悉了

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If you do, the unit vectors are called i prime and j prime, the components of the vector change.

如果这么做,单位矢量就是 i' 和 j',矢量的两个分量也会发生变化

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Here is the unit vector i prime, that's unit vector j prime and here is this vector A.

这是单位矢量 i',那是单位矢量 j',以及这是矢量 A

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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

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In other words, the person wants to ask, "How much i prime and how much j prime do I need to build up the vector A?"

换句话说,有人会问,"我需要用多少倍的 i' 和多少倍的 j',来组成矢量 A"

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I gave you a law of transformation of the components; namely, if the vector has components Ax and Ay in one reference frame and Ax prime and Ay prime in another reference frame, how are the two related?

我介绍过分量变换的法则,即如果矢量在一个坐标系的分量为 Ax 和 Ay,在另一坐标系中的分量为 Ax' 与 Ay',它们有着什么样的联系

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