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Episode #65 - A Linear World

Math & Physics Podcast

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Is This a Subspace of R Three?

The mathematical term for for the vectors that you were just talking about is directional vector, right? So a line a, no matter what, or three, r four, r five, r 200, a line is pointing. Even though, yes, it does point in two directions. Mathematically speaking, it has one direction vector. And any line, any line in any dimension, can be described mathematically with one direction fector. Now, moving on to planes, we have, or maybe you can guess it, two direction vectors. Any plane can be described with two direction Vector o orthogna, right? No, they're not always orthogonal. They

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