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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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I think the President takes the role of both the, as we would have Prime Minister and the Queen.
我想总统代替了我们的首相和女王。
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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's Samson: O first created Beam, and thou great Word, ; "Let there be light, and light was over all"; Why am I thus bereav'd thy prime decree?
参孙说到：,为什么我被剥夺你这第一道命令，“我们要有光！“光就普照一切;,为什么我被剥夺你这第一道命令？
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I think him very prime.
我认为他是一等一的
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I don't need a prime minister.' I knew what he meant by that.
我不需要一个首相”,我知道他是什么意思。
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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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The point is the arrow A, somebody has chosen to write in terms of i prime and j prime as Ax prime and Ay prime.
解决问题的关键在于矢量 A,可以用这样的形式来描述,i' ? Ax' + j' ? Ay'
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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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Imagine taking i prime and j prime and stick them here and here.
假设将 i' 和 j' 代入到这里
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i prime and j prime are now rotated unit vectors.
' 和 j' 是旋转后的单位矢量
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i prime and j prime have been banished.
' 和 j' 已经被消掉了
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This is i prime.
这个是 i'
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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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They come from writing i prime and j prime in terms of i and j, then sticking it in an expression and identifying the new representation.
写出用 i 和 j 来表示 i' 和 j' 的式子,再代入分量的表达式,就能得到新的式子
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You need to know what i prime is in terms of i and j.
你们要知道 i' 是如何用 i 和 j 表示的
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I know you couldn't do the details, but you should at least know that it's i prime and j prime that have been replaced by i and j.
我知道你们不太注意细节,但你们至少应该知道 i' 和 j',已经被 i 和 j 取代了
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