WEBVTT
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Okay, so I'm going to show that we can
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write I as the as a vector one zero zero
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j as the vector zero one zero and chaos the
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vector zero zero one. All right, so now
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it's just a matter of doing these dot products.
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So let's just look at one and then I'll let
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you kind of figure out the rest, right?
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So if we're going to do one time zero plus
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zero times one plus, you're in time zero,
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we always see that if these two vectors are different
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, then we're always going to match up a zero
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with something else and always get zero. Okay,
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so this makes sense. And if we look at
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these guys here, would you I with eye,
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we're always going to get the two components with the
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ones to match up and in the zeros with zero
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. So we always get one. Okay, that's
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the same with the J and the cakes of the
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ones. We're just in different places.