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You cannot say,
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"I never heard of it. I don't know where it came from."
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You should think about why that is true.
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If you do that, you will find this result.
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So, there is a way to go from the unprimed coordinates
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to the prime coordinate by rotating your axis
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and actually calculating the components.
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Now, here is a very important message, which is the following.
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When you go from one set of axes to another set of axes,
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the numbers change.
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The components of the vector are not the same.
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You might think it's all along x