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When you learn relativity,
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you will find you have one observer saying something,
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another observer saying something.
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They will disagree on a lot of things,
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but there are few things they will all agree on.
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Those few things will be analog of A·B.
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So, it's very good to have this part of it very clear in your head.
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This part of elementary vector analysis
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should be clear in your head.
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Okay, so any questions about this?
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So, if you want, geometrically,
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the work done by a force