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Right, my point is that length and time don't exist perpendicular to each other simply because there might be some utility in visualizing them that way. The com
by ralusek 5y ago
Right, my point is that length and time don't exist perpendicular to each other simply because there might be some utility in visualizing them that way. The complex plane seems to be generally taught as if imaginary numbers in some capacity exist on this perpendicular axis. Even Veritasium, who is supposed to be teaching deconstruction/first principles approaches to these concepts, is saying this.
- rhdunn 5y agoThe spatial unit vectors for a 3 spatial dimension [x,y,z] vector are i^=[1,0,0], j^=[0,1,0], and k^=[0,0,1]. These are all said to be orthogonal to each other, which is a generalization of perpendicularity [1] to non-spatial vector spaces. As a lay person who is not familiar with the mathematics would recognize the term perpendicular, using that in the video is fine. [1] https://en.wikipedia.org/wiki/Orthogonality https://en.wikipedia.org/wiki/Orthogonality