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and the length of the vector I'm going to call by A.
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A is the length of A.
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If you drop the arrow,
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it's the usual convention,
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if you're talking about the length of the vector A.
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First of all, it's clear from the Pythagoras' theorem
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that a is the square root of (Ax)^2 + (Ay)^2.
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The angle θ that it makes with the x-axis
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satisfies the condition tan is Ay over Ax..
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What this means--Now here's the main point.
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If you give me a pair of numbers, Ax and Ay,
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that's as good as giving me this arrow,